### Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs

Class 10 Maths MCQs for chapter 2 Polynomials are available here online, along with answers. These objective type questions have been prepared, as per the CBSE syllabus and NCERT curriculum.Practising these multiple-choice questions will help students to score better marks in their upcoming board exams.

1. The zeroes of x²–2x –8 are:

(a) (2,-4)

(b) (4,-2)

(c) (-2,-2)

(d) (-4,-4)

2. What is the quadratic polynomial whose sum and the product of zeroes is √2, ⅓ respectively?

(a) 3x²-3√2x+1

(b) 3x²+3√2x+1

(c) 3x²+3√2x-1

(d) None of the above

3. If the zeroes of the quadratic polynomial ax2+bx+c, c≠0 are equal, then

(a) c and b have opposite signs

(b) c and a have opposite signs

(c) c and b have same signs

(d) c and a have same signs

4. The degree of the polynomial, x⁴ – x² +2 is

(a) 2

(b) 4

(c) 1

(d) 0

5. If one of the zeroes of cubic polynomial is x³+ax²+bx+c is -1, then product of other two zeroes is:

(a) b-a-1

(b) b-a+1

(c) a-b+1

(d) a-b-1

6. If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:

(a) Zero of p(x)

(b) Value of p(x)

(c) Constant of p(x)

(d) None of the above

7. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:

(a) Intersects x-axis

(b) Intersects y-axis

(c) Intersects y-axis or x-axis

(d) None of the above

8. A polynomial of degree n has:

(a) Only one zero

(b) At least n zeroes

(c) More than n zeroes

(d) At most n zeroes

9. The number of polynomials having zeroes as -2 and 5 is:

(a) 1

(b) 2

(c) 3

(d) More than 3

10. Zeroes of p(x) = x2-27 are:

(a) ±9√3

(b) ±3√3

(c) ±7√3

(d) None of the above

11. Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, the third zero is

(a) -b/a

(b) b/a

(c) c/a

(d) -d/a

12. If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is

(a) 10

(b) –10

(c) 5

(d) –5

13. A quadratic polynomial, whose zeroes are –3 and 4, is

(a) x² – x + 12

(b) x² + x + 12

(c) (x²/2) – (x/2) – 6

(d) 2x² + 2x – 24

14. The zeroes of the quadratic polynomial x2 + 99x + 127 are

(a) both positive

(b) both negative

(c) one positive and one negative

(d) both equal

15. The zeroes of the quadratic polynomial x2 + 7x + 10 are

(a) -4, -3

(b) 2, 5

(c) -2, -5

(d) -2, 5

16. If the discriminant of a quadratic polynomial, D > 0, then the polynomial has

(a) two real and equal roots

(b) two real and unequal roots

(c) imaginary roots

(d) no roots

17. If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, then the relation between the degrees of p(x) and g(x) is

(a) degree of p(x) < degree of g(x)

(b) degree of p(x) = degree of g(x)

(c) degree of p(x) > degree of g(x)

(d) nothing can be said about degrees of p(x) and g(x)

18. By division algorithm of polynomials, p(x) =

(a) g(x) × q(x) + r(x)

(b) g(x) × q(x) – r(x)

(c) g(x) × q(x) × r(x)

(d) g(x) + q(x) + r(x)

19. The product of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is

(a) -b/a

(b) c/a

(c) -d/a

(d) -c/a

20. If the graph of a polynomial intersects the x-axis at three points, then it contains ____ zeroes.

(a) Three

(b) Two

(c) Four

(d) More than three

21. If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

(a) 10

(b) -10

(c) 5

22. A quadratic polynomial, whose zeroes are -3 and 4, is

(a) x²- x + 12

(b) x² + x + 12

(c) x²/2−x²−6

(d) 2x² + 2x – 24

23. If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and -3, then

(a) a = -7, b = -1

(b) a = 5, b = -1

(c) a = 2, b = -6

(d) a – 0, b = -6

24. The number of polynomials having zeroes as -2 and 5 is

(a) 1

(b) 2

(c) 3

(d) more than 3

25. If one of the zeroes of the cubic polynomial x3 + ax² + bx + c is -1, then the product of the

other two zeroes is

(a) b – a + 1

(b) b – a – 1

(c) a – b + 1

(d) a – b – 1

26. The zeroes of the quadratic polynomial x²+ 99x + 127 are

(a) both positive

(b) both negative

(c) one positive and one negative

(d) both equal

*27. The zeroes of the quadratic polynomial x² + kx + k, k? 0,**(a) cannot both be positive**(b) cannot both be negative**(c) are always unequal**(d) are always equal*

## Class 10 Maths Chapter 2 Polynomials MCQs with Answers

28. If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then

(a) c and a have opposite signs

(b) c and b have opposite signs

(c) c and a have the same sign

(d) c and b have the same sign

29. . If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it

(a) has no linear term and the constant term is negative.

(b) has no linear term and the constant term is positive. (c) can have a linear term but the constant term is negative.

(d) can have a linear term but the constant term is positive.

30. Which of the following is not the graph of quadratic polynomial ?

31. The number of polynomials having zeroes as 4 and 7 is

(a) 2

(b) 3

(c) 4

(d) more than 4

32. A quadratic polynomial, whose zeores are -4 and -5, is

(a) x²-9x + 20

(b) x² + 9x + 20

(c) x²-9x- 20

(d) x² + 9x- 20

33. The zeroes of the quadratic polynomial x² + 1750x + 175000 are

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

34. The zeroes of the quadratic polynomial x² – 15x + 50 are

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

35. The zeroes of the quadratic polynomial 3x² – 48 are

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

36. The zeroes of the quadratic polynomial x² – 18x + 81 are

(a) both negative

(b) one positive and one negative

(c) both positive and unequal

(d) both equal and positive

37. The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are

(a) both equal

(b) both cannot be positive

(c) both unequal

(d) both cannot be negative

38. If the zeroes of the quadratic polynomial Ax² + Bx + C, C # 0 are equal, then

(a) A and B have the same sign

(b) A and C have the same sign

(c) B and C have the same sign

(d) A and C have opposite signs

39. If x3 + 1 is divided by x² + 5, then the possible degree of quotient is

(a) 0

(b) 1

(c) 2

(d) 3

40. If x3 + 11 is divided by x² – 3, then the possible degree of remainder is

(a) 0

(b) 1

(c) 2

(d) less than 2

41. If x4 + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:

(a) 3, 0

(b) 4, 1

(c) 3, 1

(d) 4, 0

42. If x5 + 2×4 + x + 6 is divided by g(x), and quotient is x² + 5x + 7, then the possible degree of g(x) is:

(a) 4

(b) 2

(c) 3

(d) 5

## Class 10 Maths Chapter 2 Polynomials MCQs with Answers

43. If x5 + 2×4 + x + 6 is divided by g(x) and quo-tient is x² + 5x + 7, then the possible degree of remainder is:

(a) less than 1

(b) less than 2

(c) less than 3

(d) less than 4

44. What is the number of zeroes that a linear poly-nomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

45. What is the number(s) of zeroes that a quadratic polynomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

46. What is the number(s) of zeores that a cubic polynomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

47. If one of the zeroes of the cubic polynomial x³ + px² + qx + r is -1, then the product of the other two zeroes is

(a) p + q + 1

(b) p-q- 1

(c) q – p + 1

(d) q – p – 1

48. If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is

(a) 10

(b) -8

(c) 9

(d) -10

49. If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:

(a) 2

(b) -2

(c) 4

(d) -4

50. The maximum number of zeroes that a polynomial of degree 4 can have is

(a) One

(b) Two

(c) Three

(d) Four

51. The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely

(a) (−2/3, 0)

(b) (0, −2/3)

(c) (2/3, 0)

(d) 2/3, −2/3

52. The graph of the polynomial ax² + bx + c is an upward parabola if

(a) a > 0

(b) a < 0

(b) a = 0

(d) None

53. The graph of the polynomial ax² + bx + c is a downward parabola if

(a) a > 0

(b) a < 0

(c) a = 0

(d) a = 1

54. A polynomial of degree 3 is called

(a) a linear polynomial

(b) a quadratic polynomial

(c) a cubic polynomial

(d) a biquadratic polynomial

55. If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is

(a) 0

(b) 4

(c) -4

(d) 16

56.The value of p for which the polynomial x³ + 4x² –px + 8 is exactly divisible by (x – 2) is:

(A) 0

(B) 3

(C) 5

(D) 16

57. If sum of the squares of zeroes of the quadratic polynomial 6×2 + x + k is 25/36, the value of k is:

(A) 4

(B) – 4

(C) 2

(D) – 2

58. If α and β are zeroes of x2 – 4x + 1, then 1/α + 1/β – αβ is

(A) 3

(B) 5

(C) –5

(D) –3

59. If (x + 1) is a factor of x2− 3ax +3a − 7, then the value of a is:

(A) 1

(B) –1

(C) 0

(D) –2

60. If α, β are zeroes of x2 –6x + k, what is the value of k if 3α + 2β = 20?

(A)–16

(B) 8

(C) 2

(D) –8

61. If the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6, then the value of k is

(a) 2

(b) 4

(c) -2

(d) -4

62. What should be subtracted from x³ – 2x² + 4x + 1 to get 1?

(a) x³ – 2x² + 4x

(b) x³ – 2x² + 4 + 1

(c) -1

(d) 1

63. If a – b, a and a + b are zeroes of the polynomial fix) = 2x³ – 6x² + 5x – 7, then value of a is

(a) 1

(b) 2

(c) -5

(d) 7

64. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, then

(a) a = -7, b = -1

(b) a = 5, b = -1

(c) a = 2, b = -6

(d) a – 0, b = -6

65. A quadratic polynomial, whose zeroes are -4 and -5, is

(a) x²-9x + 20

(b) x² + 9x + 20

(c) x²-9x- 20

(d) x² + 9x- 20

66. The zeroes of the quadratic polynomial x² + 20x + 75 are

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

67. The zeroes of the quadratic polynomial x² – 25x + 150 are

(a) both negative

(b) one positive and one negative

(c) both positive

(d) both equal

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Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers

Class 10 Maths Chapter 2 Polynomials MCQs with Answers