# 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

1. 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.

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