Class 10th Top MCQ on “Polynomial”

1. Which of the following is a polynomial?
2. a) 5x^3 + 2x^2 + 3
3. b) √3x^2 + x + 1
4. c) x^3 + 2x^(3/2) – 1
5. d) 1/x^2 + x

Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.

2. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1

Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.

3. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3

Solution: d) 3, as the highest power of x in the given polynomial is 3.

4. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1

Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.

5. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3

Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.

6. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1

Solution: b) 2x – 2 is a binomial as it has two terms.

7. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4

Solution: d) x – 4 is not a factor of the given polynomial.

8. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2

Solution: a) x + 5 is the other factor.

1. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x

Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.

2. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1

Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.

3. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3

Solution: d) 3, as the highest power of x in the given polynomial is 3.

4. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1

Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.

5. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3

Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.

6. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1

Solution: b) 2x – 2 is a binomial as it has two terms.

7. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4

Solution: d) x – 4 is not a factor of the given polynomial.

8. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2

Solution: a) x + 5 is the other factor.

9. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
10. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
11. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
12. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
13. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
14. Solution: d) 3, as the highest power of x in the given polynomial is 3.
15. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
16. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
17. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
18. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
19. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
20. Solution: b) 2x – 2 is a binomial as it has two terms.
21. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
22. Solution: d) x – 4 is not a factor of the given polynomial.
23. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
24. Solution: a) x + 5 is the other factor.
25. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
26. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
27. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
28. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
29. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
30. Solution: d) 3, as the highest power of x in the given polynomial is 3.
31. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
32. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
33. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
34. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
35. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
36. Solution: b) 2x – 2 is a binomial as it has two terms.
37. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
38. Solution: d) x – 4 is not a factor of the given polynomial.
39. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
40. Solution: a) x + 5 is the other factor.
41. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
42. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
43. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
44. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
45. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
46. Solution: d) 3, as the highest power of x in the given polynomial is 3.
47. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
48. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
49. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
50. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
51. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
52. Solution: b) 2x – 2 is a binomial as it has two terms.
53. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
54. Solution: d) x – 4 is not a factor of the given polynomial.
55. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
56. Solution: a) x + 5 is the other factor.
57. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
58. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
59. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
60. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
61. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
62. Solution: d) 3, as the highest power of x in the given polynomial is 3.
63. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
64. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
65. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
66. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
67. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
68. Solution: b) 2x – 2 is a binomial as it has two terms.
69. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
70. Solution: d) x – 4 is not a factor of the given polynomial.
71. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
72. Solution: a) x + 5 is the other factor.
73. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
74. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
75. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
76. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
77. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
78. Solution: d) 3, as the highest power of x in the given polynomial is 3.
79. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
80. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
81. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
82. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
83. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
84. Solution: b) 2x – 2 is a binomial as it has two terms.
85. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
86. Solution: d) x – 4 is not a factor of the given polynomial.
87. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
88. Solution: a) x + 5 is the other factor.
89. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
90. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
91. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
92. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
93. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
94. Solution: d) 3, as the highest power of x in the given polynomial is 3.
95. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
96. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
97. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
98. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
99. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
100. Solution: b) 2x – 2 is a binomial as it has two terms.
101. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
102. Solution: d) x – 4 is not a factor of the given polynomial.
103. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
104. Solution: a) x + 5 is the other factor.
105. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
106. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
107. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
108. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
109. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
110. Solution: d) 3, as the highest power of x in the given polynomial is 3.
111. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
112. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
113. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
114. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
115. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
116. Solution: b) 2x – 2 is a binomial as it has two terms.
117. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
118. Solution: d) x – 4 is not a factor of the given polynomial.
119. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
120. Solution: a) x + 5 is the other factor.
121. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
122. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
123. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
124. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
125. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
126. Solution: d) 3, as the highest power of x in the given polynomial is 3.
127. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
128. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
129. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
130. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
131. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
132. Solution: b) 2x – 2 is a binomial as it has two terms.
133. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
134. Solution: d) x – 4 is not a factor of the given polynomial.
135. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
136. Solution: a) x + 5 is the other factor.
137. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
138. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
139. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
140. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
141. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
142. Solution: d) 3, as the highest power of x in the given polynomial is 3.
143. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
144. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
145. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
146. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
147. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
148. Solution: b) 2x – 2 is a binomial as it has two terms.
149. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
150. Solution: d) x – 4 is not a factor of the given polynomial.
151. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
152. Solution: a) x + 5 is the other factor.
153. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
154. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
155. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
156. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
157. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
158. Solution: d) 3, as the highest power of x in the given polynomial is 3.
159. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
160. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
161. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
162. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
163. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
164. Solution: b) 2x – 2 is a binomial as it has two terms.
165. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
166. Solution: d) x – 4 is not a factor of the given polynomial.
167. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
168. Solution: a) x + 5 is the other factor.
169. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
170. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
171. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
172. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
173. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
174. Solution: d) 3, as the highest power of x in the given polynomial is 3.
175. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
176. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
177. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
178. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
179. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
180. Solution: b) 2x – 2 is a binomial as it has two terms.
181. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
182. Solution: d) x – 4 is not a factor of the given polynomial.
183. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
184. Solution: a) x + 5 is the other factor.
185. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
186. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
187. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
188. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
189. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
190. Solution: d) 3, as the highest power of x in the given polynomial is 3.
191. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
192. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
193. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
194. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
195. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
196. Solution: b) 2x – 2 is a binomial as it has two terms.
197. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
198. Solution: d) x – 4 is not a factor of the given polynomial.
199. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
200. Solution: a) x + 5 is the other factor.
201. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
202. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
203. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
204. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
205. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
206. Solution: d) 3, as the highest power of x in the given polynomial is 3.
207. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
208. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
209. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
210. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
211. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
212. Solution: b) 2x – 2 is a binomial as it has two terms.
213. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
214. Solution: d) x – 4 is not a factor of the given polynomial.
215. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
216. Solution: a) x + 5 is the other factor.
217. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
218. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
219. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
220. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
221. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
222. Solution: d) 3, as the highest power of x in the given polynomial is 3.
223. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
224. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
225. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
226. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
227. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
228. Solution: b) 2x – 2 is a binomial as it has two terms.
229. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
230. Solution: d) x – 4 is not a factor of the given polynomial.
231. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
232. Solution: a) x + 5 is the other factor.
233. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
234. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
235. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
236. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
237. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
238. Solution: d) 3, as the highest power of x in the given polynomial is 3.
239. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
240. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
241. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
242. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
243. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
244. Solution: b) 2x – 2 is a binomial as it has two terms.
245. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
246. Solution: d) x – 4 is not a factor of the given polynomial.
247. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
248. Solution: a) x + 5 is the other factor.
249. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
250. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
251. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
252. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
253. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
254. Solution: d) 3, as the highest power of x in the given polynomial is 3.
255. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
256. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
257. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
258. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
259. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
260. Solution: b) 2x – 2 is a binomial as it has two terms.
261. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
262. Solution: d) x – 4 is not a factor of the given polynomial.
263. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
264. Solution: a) x + 5 is the other factor.
265. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
266. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
267. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
268. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
269. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
270. Solution: d) 3, as the highest power of x in the given polynomial is 3.
271. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
272. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
273. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
274. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
275. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
276. Solution: b) 2x – 2 is a binomial as it has two terms.
277. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
278. Solution: d) x – 4 is not a factor of the given polynomial.
279. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
280. Solution: a) x + 5 is the other factor.
281. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
282. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
283. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
284. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
285. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
286. Solution: d) 3, as the highest power of x in the given polynomial is 3.
287. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
288. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
289. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
290. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
291. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
292. Solution: b) 2x – 2 is a binomial as it has two terms.
293. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
294. Solution: d) x – 4 is not a factor of the given polynomial.
295. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
296. Solution: a) x + 5 is the other factor.
297. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
298. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
299. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
300. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
301. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
302. Solution: d) 3, as the highest power of x in the given polynomial is 3.
303. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
304. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
305. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
306. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
307. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
308. Solution: b) 2x – 2 is a binomial as it has two terms.
309. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
310. Solution: d) x – 4 is not a factor of the given polynomial.
311. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
312. Solution: a) x + 5 is the other factor.
313. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
314. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
315. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
316. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
317. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
318. Solution: d) 3, as the highest power of x in the given polynomial is 3.
319. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
320. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
321. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
322. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
323. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
324. Solution: b) 2x – 2 is a binomial as it has two terms.
325. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
326. Solution: d) x – 4 is not a factor of the given polynomial.
327. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
328. Solution: a) x + 5 is the other factor.
329. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
330. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
331. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
332. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
333. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
334. Solution: d) 3, as the highest power of x in the given polynomial is 3.
335. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
336. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
337. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
338. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
339. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
340. Solution: b) 2x – 2 is a binomial as it has two terms.
341. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
342. Solution: d) x – 4 is not a factor of the given polynomial.
343. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
344. Solution: a) x + 5 is the other factor.
345. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
346. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
347. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
348. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
349. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
350. Solution: d) 3, as the highest power of x in the given polynomial is 3.
351. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
352. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
353. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
354. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
355. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
356. Solution: b) 2x – 2 is a binomial as it has two terms.
357. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
358. Solution: d) x – 4 is not a factor of the given polynomial.
359. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
360. Solution: a) x + 5 is the other factor.
361. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
362. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
363. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
364. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
365. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
366. Solution: d) 3, as the highest power of x in the given polynomial is 3.
367. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
368. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
369. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
370. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
371. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
372. Solution: b) 2x – 2 is a binomial as it has two terms.
373. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
374. Solution: d) x – 4 is not a factor of the given polynomial.
375. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
376. Solution: a) x + 5 is the other factor.
377. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
378. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
379. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
380. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
381. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
382. Solution: d) 3, as the highest power of x in the given polynomial is 3.
383. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
384. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
385. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
386. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
387. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
388. Solution: b) 2x – 2 is a binomial as it has two terms.
389. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
390. Solution: d) x – 4 is not a factor of the given polynomial.
391. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
392. Solution: a) x + 5 is the other factor.
393. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
394. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
395. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
396. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
397. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
398. Solution: d) 3, as the highest power of x in the given polynomial is 3.
399. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
400. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
401. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
402. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
403. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
404. Solution: b) 2x – 2 is a binomial as it has two terms.
405. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
406. Solution: d) x – 4 is not a factor of the given polynomial.
407. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
408. Solution: a) x + 5 is the other factor.
409. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
410. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
411. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
412. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
413. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
414. Solution: d) 3, as the highest power of x in the given polynomial is 3.
415. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
416. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
417. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
418. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
419. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
420. Solution: b) 2x – 2 is a binomial as it has two terms.
421. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
422. Solution: d) x – 4 is not a factor of the given polynomial.
423. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
424. Solution: a) x + 5 is the other factor.
425. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
426. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
427. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
428. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
429. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
430. Solution: d) 3, as the highest power of x in the given polynomial is 3.
431. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
432. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
433. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
434. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
435. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
436. Solution: b) 2x – 2 is a binomial as it has two terms.
437. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
438. Solution: d) x – 4 is not a factor of the given polynomial.
439. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
440. Solution: a) x + 5 is the other factor.
441. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
442. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
443. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
444. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
445. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
446. Solution: d) 3, as the highest power of x in the given polynomial is 3.
447. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
448. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
449. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
450. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
451. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
452. Solution: b) 2x – 2 is a binomial as it has two terms.
453. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
454. Solution: d) x – 4 is not a factor of the given polynomial.
455. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
456. Solution: a) x + 5 is the other factor.
457. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
458. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
459. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
460. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
461. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
462. Solution: d) 3, as the highest power of x in the given polynomial is 3.
463. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
464. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
465. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
466. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
467. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
468. Solution: b) 2x – 2 is a binomial as it has two terms.
469. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
470. Solution: d) x – 4 is not a factor of the given polynomial.
471. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
472. Solution: a) x + 5 is the other factor.
473. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
474. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
475. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
476. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
477. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
478. Solution: d) 3, as the highest power of x in the given polynomial is 3.
479. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
480. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
481. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
482. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
483. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
484. Solution: b) 2x – 2 is a binomial as it has two terms.
485. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
486. Solution: d) x – 4 is not a factor of the given polynomial.
487. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
488. Solution: a) x + 5 is the other factor.
489. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
490. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
491. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
492. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
493. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
494. Solution: d) 3, as the highest power of x in the given polynomial is 3.
495. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
496. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
497. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
498. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
499. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
500. Solution: b) 2x – 2 is a binomial as it has two terms.
501. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
502. Solution: d) x – 4 is not a factor of the given polynomial.
503. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
504. Solution: a) x + 5 is the other factor.
505. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
506. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
507. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
508. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
509. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
510. Solution: d) 3, as the highest power of x in the given polynomial is 3.
511. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
512. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
513. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
514. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
515. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
516. Solution: b) 2x – 2 is a binomial as it has two terms.
517. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
518. Solution: d) x – 4 is not a factor of the given polynomial.
519. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
520. Solution: a) x + 5 is the other factor.
521. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
522. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
523. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
524. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
525. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
526. Solution: d) 3, as the highest power of x in the given polynomial is 3.
527. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
528. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
529. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
530. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
531. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
532. Solution: b) 2x – 2 is a binomial as it has two terms.
533. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
534. Solution: d) x – 4 is not a factor of the given polynomial.
535. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
536. Solution: a) x + 5 is the other factor.
537. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
538. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
539. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
540. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
541. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
542. Solution: d) 3, as the highest power of x in the given polynomial is 3.
543. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
544. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
545. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
546. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
547. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
548. Solution: b) 2x – 2 is a binomial as it has two terms.
549. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
550. Solution: d) x – 4 is not a factor of the given polynomial.
551. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
552. Solution: a) x + 5 is the other factor.
553. Which of the following is a polynomial? a) 5x^3 + 2x^2 + 3 b) √3x^2 + x + 1 c) x^3 + 2x^(3/2) – 1 d) 1/x^2 + x
554. Solution: a) 5x^3 + 2x^2 + 3 is a polynomial as all its terms have non-negative integral powers of x.
555. Which of the following is not a polynomial? a) x^3 – 2x^2 + x – 1 b) 5x^2 – 3x + 2/3 c) √2x^2 + 1 d) 7x^4 + 2x^2 + 1
556. Solution: c) √2x^2 + 1 is not a polynomial as it has a radical expression in it.
557. What is the degree of the polynomial x^3 + 2x^2 – 3x + 5? a) 0 b) 1 c) 2 d) 3
558. Solution: d) 3, as the highest power of x in the given polynomial is 3.
559. Which of the following polynomials has a degree of 4? a) 4x^3 + 2x^2 – 3x + 1 b) x^4 – x^2 + 1 c) 3x^2 + 2x + 1 d) x^3 – 2x^2 + x – 1
560. Solution: b) x^4 – x^2 + 1 has a degree of 4 as the highest power of x in the polynomial is 4.
561. Which of the following is a constant polynomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) 3
562. Solution: d) 3 is a constant polynomial as it has a single term with a zero power of x.
563. Which of the following is a binomial? a) 5x^3 + 2x^2 + 3 b) 2x – 2 c) x^2 + 1/x^2 d) x^3 – 2x^2 + x – 1
564. Solution: b) 2x – 2 is a binomial as it has two terms.
565. Which of the following is not a factor of the polynomial x^2 – 4x + 4? a) (x – 2)^2 b) (x + 2)^2 c) x – 2 d) x – 4
566. Solution: d) x – 4 is not a factor of the given polynomial.
567. If x – 3 is a factor of the polynomial x^2 – 2x – 15, what is the other factor? a) x + 5 b) x – 5 c) x – 2 d) x + 2
568. Solution: a) x + 5 is the other factor.