# MCQ Questions for Class 10 Maths Chapter 2 Polynomials with Answers

Below you will find NCERT MCQ Questions for Class 10 Maths Chapter 2 Polynomials with Answers which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.

Also, students can check NCERT Solutions for Class 10 Maths Chapter 2 for improving their marks and have good understanding of the chapter.

1. If one of the zeros 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
Solution (a) Has no linear term and the constant term is negative

2. If ‘Î±’ and ‘Î²’ are the zeroes of a quadratic polynomial x2 + 5x − 5, then
(a) Î± − Î² = Î±Î²
(b) Î± + Î² = Î±Î²
(c) Î± + Î² < Î±Î²
(d) Î± + Î² > Î±Î²
Solution (b) Î± + Î² = Î±Î²

3. If (-1/3) is the zero of the cubic polynomial f(x) = 3x3 – 5x2 – 11x – 3 the other zeros are:
(a) – 3, – 1
(b) 1, 3
(c) 3, – 1
(d) – 3, 1
Solution (c) 3, – 1

4. The polynomial to be added to the polynomial x4+2x3−2x2+x−1 so that the resulting polynomial is exactly divisible by x2+2x−3 is
(a) x + 2
(b) 2 – x
(c) x – 2
(d) None of these
Solution (c) x – 2

5. If one root of the polynomial p(y) = 5y2 + 13y + m is reciprocal of other, then the value of m is
(a) 6
(b) 0
(c) 5
(d) 1/5
Solution (c) 5

6. 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
Solution (d) a – 0, b = -6

7. 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
Solution (b) both negative

8. Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeros is
(a) -c/a
(b) c/a
(c) 0
(d) -b/a
Solution (b) c/a

9. The number of polynomials having zeros as -2 and 5 is
(a) 1
(b) 2
(c) 3
(d) more than 3
Solution (d) more than 3

10. If x + 2 is a factor of x3– 2ax2 + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2
Solution (b) 1

11. 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
Solution (a) b – a + 1

12. The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –
(a) x2 + 2x + 3
(b) x2 – 5x + 3
(c) x2 + 5x + 3
(d) x2 + 3x – 5
Solution (c) x2 + 5x + 3

13. The graph of a cubic polynomial x3– 4x meets the x – axis at (– 2, 0), (0, 0) and (2, 0), then the zeroes of the polynomial are
(a) 0, 0 and 2
(b) – 2, 0 and 0
(c) – 2, 0 and 2
(d) None of these
Solution (c) – 2, 0 and 2

14. On dividing x3– 3x2 + x + 2 by polynomial g(x), the quotient and remainder were x – 2 and 4 – 2x respectively then g(x) :
(a) x2 + x + 1
(b) x2 + x – 1
(c) x2 – x – 1
(d) x2 – x + 1
Solution (d) x2 – x + 1

15. 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
Solution (d) a = 0, b = -6

16. 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
Solution (b) x2 + 9x + 20

17. 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
Solution (c) both positive

18. If ‘2’ is the zero of both the polynomials 3x2 +mx−14 and 2x3+nx2 +x−2, then the value of m – 2n is
(a) 9
(b) – 9
(c) – 1
(d) 5
Solution (a) 9

19. The number of polynomials having zeroes as 4 and 7 is
(a) 2
(b) 3
(c) 4
(d) more than 4
Solution (d) more than 4

20. 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
Solution (b) both cannot be positive

21. The degree of the remainder r(x) when p (x) = bx3+ cx + d is divided by a polynomial of degree 4 is
(a) less than 4
(b) less than 3
(c) equal to 3
(d) less than or equal to 3
Solution (c) equal to 3

22. What is the number of zeroes that a linear polynomial has/have:
(a) 0
(b) 1
(c) 2
(d) 3
Solution (b) 1

23. If p and q are the zeroes of the polynomial x2 - 5x - k. Such that p - q = 1, find the value of K
(a) 6
(b) 7
(c) 8
(d) 9
Solution (a) 6

24. If Î±,Î² be the zeros of the quadratic polynomial 2x2 + 5x + 1, then value of Î± + Î² + Î±Î² =
(a) - 2
(b) - 1
(c) 1
(d) None of these
Solution (a) - 2