Polynomials

1.If P(x)=x+3, then P(x) + P(- x) is equal to

(a) 6 (b) 0 (c) 2x (d) 3
2. The zero polynomial P(x) = 5x- 2 is
(a)- 2/5 (b) 2/5 (c) 5/2 (d) - 5/2
3.If x51 + 51 is divided by x + 1, the remainder is
(a) 0 (b) 1 (c) 49 (d) 50
4. If x + 1 is a factor of the polynomial 2x² + kx, then
the value of k is
(a) -3 (b) 4 (c) 2 (d) - 2
5. Which of the following factor of (x +y³ - (* +y)?
(a) x² +y² +2xy (b) x+y- xy (c) xy² (d) 3xy
6. The coefficient of x in the expansion (x +3)° is
(a) 1 (b) 9 (c) 18 (d) 27
7.If the roots of theequation 8x 14x+ 7x-1 =0
are in geometric progression, then roots are
(a) 3, 6, 8 (b) 1, 2, 4 (c) 2, 4, 8 (d) 1, ½, 4
8.Which of the following is a polynomial in one
variable?
(a) V2- x² +2x (b) x² + x -2
(c) V2x + 9 (d) x$ +y+9
9. Which of the following is a linear polynomial?
(a) x + x² (b) x + 1 (C) x + 1 (d) 5x²-X+3
10. The factor of x²- 9 is
(a) (x +3)Xx +3) (b) (x +3)(X - 3)
(c) (x -3)XX -3) (d) (x- 3)(x +3)
11. Which of the following relation holds for the
polynomial P(x) =8x-7x- 6x+ 5?
(a) P(1) =1 (b)P(1) =4
(c) P(- 1) = 0 (d) P(-1) = -4
12. When the polynomial P(x) =2x²- 3x²+ kx +4is
divided by (x - 1), 1is obtained as the remainder.
What is the value of k?
(a) 10 (b) 4 (c)- 4 (d) - 10
13. The polynomial x²-x-x-1 can be factorised
as

(a) (x - 1) (x +1) (b) (x + 1) (x-1) (x + 2)

(c) (x + 1° (x- 1) (d) (x + 1)° (x-1)
14. What is the degree ofthe polynomial 8x- 3x
+ 4x°+ 9x?
(a) 4 (b) 5 (c) 8 (d) 9
15. Find the zero of the polynomial P(x) = x- 4?
(a) 4 (b) 3 (c) 4 (d) 0
16. The degree of the polynomial 2x -1 is
(a) 0 (b) 1/2 (c) -1 (d) 1
17. The zero of the polynomial P(x) =(x-5) (x - 6)
are

(a) -6-5 (b)- 6,5 (c) 6, -5 (d) 6, 5

18. Which of the following polynomial has -3 as a
zero?
(a)x -3 (b) x²-2 (c) x²-3x (d) x² +3
19. Zero of the polynomial P(x) = Cx + d is
(a) -d (b) -c (c) d/c (d) - d/c
20. If x=3, find the value of P(x) = X-5x + 4.
 (a) -2 (b) 5 (c) - 4 (d) 0
21. Find the degree of the polynomial 5.
(a) 5 (b) 1 (c) 0 (d) constant
22. (97) =
(a)9659 (b) 9409 (c) 9009 (d) 9209
23. Find the zero of thepolynomial P(x) = 9x -3
(a) 6/7 (b) 1/2 (c) 1/3 (d) 7/3
24. Degree of the polynomial 4x + 0x+ Ox5 +5x +
7 is
(a) 4 (b) 5 (c) 3 (d) 7
25. If P(x) =X- 4x + 5x-2, then P (2) is
(a) 0 (b) 3 (c) 5 (d) 8
26. 33 x 27 =
(a) 841 (b) 881 (c) 891 (d) 981
27. What is the output of x +3x + 5, where x =3.
(a) 21 (b) 22 (c) 23 (d) 24
28. Given y =3, evaluate y when x =3.
(a) 3 (b) 9 (c) 27 (d) 81
29. Find the degree of 2-y -y³ +2y.
(a) 2 (b) - 1 (c) 3 (d) 8
30. Find the solution of (2x + 6)2.
(a) x²+24x + 36 (b) 4x² + 24x + 6
(c) 4x' + 24x + 36 (d) 4x - 24 +36
31. Find the zero of the polynomial P(x) =x -2.
(a) - 2 (b) 2 (c) 1/2 (d) - ½
32. (a + by² = (a + b) x
(a) ab (b) 2ab (c) (a + b) (d) (a - b)
33. The root of the polynomial equation x + 2x = 0
are

(a) x=2, 0 (b) x= 1,2 (c) x =1,-2 (d) x =0, -2

34. The zero of the polynomial P(x) = V5x -5
(a) v5 (b) -v5 (c) V5/5 (d) - 5
35. Find the value of the polynomial (3x³) x(4x²) +
7x when x =3.
(a) 4617 (b) 4613 (c) 4611 (d) 4619
36. If (y) = (y + 2) (y - 2). Find the value of P(1).
(a) 2 (b) 0 (c)-3 (d) 3
37. Find P (0) for the polynomial P(x) = 10x - 4x² -
3.
(a) 3 (b) -3 (c) 1 (d) 0
38. Simplify, (l + m)- 4lm.
(a) (| - m)² (b) 4m² (c) (| +2m) (d) (| - 2m'
39. 8.3 x7.7
(a)63.91 (b)63.81 (c) 64.91 (d) 64.21
40. Simplify, (V5 +V2) (V5- V2)
(a) 3 (b) 5 (c) 6 (d) 8
41. If the value of the polynomial x³ + 2x- ax +1
at x = 2 is 11, then find the value of a.
(a) a=5 (b) a=3 (c) a =-2 (d)a = -9
42. Find the square of, 2a + b.
(a) 4a? - 4b + b³ (b) a² + 4ab + b?
(c) a² - 4b + b² (d) 4a + 4ab + b?
43. If P(x) = x - 2V2x + 1, then P (2V2) is equal to
(a) 0 (b) 1 (c) 4V2 (d) 8V2 + 1
44. The value of 25x +16y²+ 40xy at x =a and y =
-1 is.
(a) 81 (b) - 49 (c) 1 (d) 40
45. The value of (501 - (500) is.
(a) 1 (b) 101 (c) 1001 (d) 1000
46. (a + b)?-(b-a)² =
(a) (2a +2b) (b) (2a - 2b) (c) 4ab (d)- 4ab
47. (x+ 4) (x- 4) (x+ 16) is equal to.
(a) x² - 64 (b) x- 64 (c) x 256 (d) x²- 256
48. (3- V7) (3 + V7) =
(a) 4 (b) 2 (c) 6 (d) 8
49. If 2is aroot of kx- 11x + kx' + 13x +2, what is
the value of k?
(a) 1 (b) 2 (c) 3 (d) 4
50. a'+ 4a + 4=
(a) (a + 2) (b) (a + 1° (c) (a - 2)? (d) (a - 1²
51. The value of (a + b)- 2(a - b + (a + b)(a - b) is.
(a) 4ab - b² (b) 2ab - b² (c) 3ab - b² (d) 6ab - 2b2
52. If P(1)= 8, then P(x) =
(a) 3x + 6 (b) 3x + 3 (c) 3x + 4 (d) 3x +5
53. Which of the following polynomial defines as a
constant polynomial?
(a) P(x) = ax³ + bx² + Cx + d (b) P(x) = ax? + bx +c
(c) P(x) = ax + b (d) P(x) =C
54. If one zero of the polynomial Px) =x²-6x? +
11x-6 is 3, Find the other two zeros?
(a) 0 and 2 (b) 2 and-2
(c) 1 and 2 (d) 2 and -3
55. The number of polynomials having zeros as- 2
and 5 is?
(a) 0 (b) 2 (c) 3 (d) 4
56. The product of the zeros of the polynomial x -
4x +3 is.
(a) 1 (b) 3 (c) 4 (d) - 4
57.
Find the product of (x -3(+(?+)
(a) x* + (b) x3 +-2
(c) x* 14 (d) x² ++2
58. If+= -1(x, y*0) then find the value of x
y.
(a) 1 (b) -1 (c) 1/2 (d) 0
59. Find the value of 5252 - 475?.
(a) 100 (b) 10000 (C) 5000 (d) 100000
60. One of the factor of (1 +3y') + (9y'- 1) is
(a) 1-3y (b) 3-y (c) 3y +1 (d) y -3
61. One of the factor of (x² - 1) - (x- 1) is
(a) x² +1 (b) x²-1 (c) x-1 (d) x + 1
62. Find the degree of polynomial V2.
(a) 2 (b)0 (c) 1 (d) ½
63. Find the value of k if x2 + kx + 6= (x+ 2) (x +3)
for all k.
(a) 1 (b) -1 (c) 5 (d) 3
64. If x- 2 is a factor of 5x²- kx - 18, then find the
value ofk.
(a) -1 (b) 1 (c) 0 (d) 5
65. Find the coefficient of x² in (3x² - 5) (4 + 4x2).
 (a) 12 (b) 5 (c)- 8 (d) 8
66. Find the value of pfor which x+p is a factor
of x² + px +3- p.
(a) 1 (b) - 1 (c) 3 (d) -3
67. Zero of the polynomial p(x) = CX + d is
(a) -d (b) -c (c) d/ c (d) - d/c
68. Find the remainder on dividing 5y³ - 2y2 - 7y+
1by y.
(a) -1 (b) 1 (c) 0 (d) 2
69. One of the factors of (1 6y² - 1) + (1 - 4y2
(a) (4 + a) (b) (4 - y) (c) (4y + 1) (d) 8y
70. If a+b+c=0, then the value of a³ + b² + c3
(a) abc (b) - 3abc (c) 0 (d) 3abc
71. If xi + yi + zi= 0, then which one of the
expression is correct.
(a) x² +y³ +z°=0 (b) x +y +z=3x+yîzi
(c) x +y+ z =3xyz (d) x³ + y²+z³ = 3xyz
72. If the area of the rectangle is 4x2 + 4x -3, then
find its possible dimensions.
(a) 2x -3, 2x + 1 (b) 2x -1, 2x +3
(c) 3x + 1, 2x -3 (d) 3x - 1, 2x +3
73. Ifx +'= 4, then the value of x? +
x

(a) 8 (b) 14 (c) 16 (d) 20

74. For what value of b, is the polynomial x3-3x2 +
bx -6 divisible by x-3?
(a) 1 (b)2 (c) 3 (d) -3
75. When p(x) is divided by ax - b, then the
remainder is

(a) p(a +b) (b) P(?)

76. What is remainder when x3- 2x² + x+ 1 is
divided by x - 1?
(a) 0 (b) -1 (c) 1 (d) 2
77. The coefficient of x² in 3x³+ 2x - x + 1 is
(a) 1 (b) 2 (c) 3 (d) - 1
78. Abinomial of degree 20 in the following is
(a) 20x +1 (6)*20
-+ 1 (c) x20 +1 (d) x²+20
79. The degree of 4x² - 12x² +3x +9 is
(a) 0 (b) 1 (c) 2 (d) 3
80. The value of f(x) = 5x- 4x +3 when x= -1, is
(a) 3 (b) -12 (c) -6 (d) 6
81. The zero of the polynomial f(x) =2x +7 is
(a) 2/7 (b) -2/7 (c) 7/2 (d) -7/2
82. Apolynomial with one degree is called
(a) Linear polynomial (b) Quadratic polynomial
(c) Monomial (d) Binomial
83. V3 is a polynomial of degree
(a) 2 (b) 0 (c) 1 (d) 1/2
84. Degree of thepolynomial 7x$+ 8x?- 5x +3 is
(a) 1 (b) 3 (c) 2 (d) 5
85. The value of the polynomial 7x* +3x?- 4,
when x= -2 is
(a) 100 (b) 110 (c) 120 (d) 130
86. The zero of the polynomial p(x) = -9x +9 is
 (a) 0 (b) - 9 (c) -1 (d) 1
87. Ify7+ 97 is divided by y+1,the remainder is
(a) 0 (b) 1 (c) 95 (d) 96
88. Ifx + 1is afactor of the polynomial 2x +kx,
then the value of k is
(a) - 3 (b) 4 (c) 2 (d) -2
89. The value of 992 - 98² is
(a) 1 (b) 197 (c) 187 (d) 207
90. One of thefactors of (1 + 7x)? +(49x- 1) is
(a) x-7 (b) 7-x (c) 7x-1 (d) 14x
91. The factorization of 6x² + 11x +3 is
(a) (3x + 1) (2x +3) (b) (x + 1) (2x + 3)
(c) (x +3) (2x + 1) (d)(3x + 3) (x + 1)
92. Simplify a (a² +a +1) +5 and find its value for a
=-1,
(a) 0 (b) 4 (c) 2 (d) 6
93. The degree of apolynomial x- 27 is
(a) 3 (b) 1 (c) 26 (d) 27
94. If+=- 1(a, b 0) the value of a -b³ is
(a) 1 (b) - 1 (c) 0 (d) ½
95. If 18y² -k= (9y +)9y-, then the value of
k is
(a) 0 (b)1/4 (c) 1/2 (d) 1W2
 Answer
1-a, 2 - b, 3- d, 4-c, 5- d, 6-d, 7- d, 8 -a, 9 - b,
10-b, 11-d, 12 -b, 13 - c, 14-b, 15-a, 16- d,

17- d,18- b, 19- d, 20- a, 21 - c, 22 - b, 23 - c,

24- a, 25 - a, 26 - G, 27 - c, 28 - c, 30- c, 31 - b,
32 - c, 33- d, 34- a, 35 - a, 36 -c, 37 - b, 38- a,
39- a, 40 - a, 41 - b, 42- d, 43- b, 44 - c, 45 - c,
46 -c, 47- c, 48-b, 49 - c, 50 - a,51 -d, 52 - d,
53-d, 54 -c, 55 - a, 56 - b, 57 - c, 58 - d, 59 -c,
60- c, 61 - c, 62 - b, 63 - c, 64- b, 65 - c, 66 -C,
67 - d,68 - b, 69 -d, 70 - d, 71 -b, 72- b, 73-b,
74- b, 75 -d, 76- c, 77- b, 78 - c, 79 - d, 80 - c,
81 - d,82 - b, 83-b, 84- d, 85 - c, 86- d, 87- d,
88- c, 89 - b, 90- d, 91 - a, 92 - b, 93 - c, 94- b,
95- b.