MCQs Questions for Class 10 Maths Chapter 2 Polynomials

# MCQs Questions for Class 10 Maths Chapter 2 Polynomials

## MCQs Questions for Class 10 Maths Chapter 2 Polynomials

In this 21st century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find 23 MCQs questions for class 10 maths chapter 2 polynomials.

## MCQs Questions for Class 10 Maths Chapter 2 Polynomials

1. 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

2. 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

3. The maximum number of zeroes that a polynomial of degree 4 can have is
(A) one
(B) two
(C) three
(D) four

4. If the zeroes of the quadratic polynomial x2 + 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

5. 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

6. The graph of the polynomial ax² + bx + c is an upward parabola if
(A) a > 0
(B) a < 0
(C) a = 0
(D) None

7. The number of polynomials having zeroes as –2 and 5 is

(A) 1

(B) 2

(C) 3

(D) more than 3

8. 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

9. A polynomial of degree 3 is called
(A) a linear polynomial
(C) a cubic polynomial

10. The degree of the polynomial (x + 1) (x2 – x – x4 + 1) is:

(A) 2

(B) 3

(C) 4

(D) 5

11. 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

12. If Î± and Î² are the zeroes of the polynomial x² – 16, then Î±Î²(Î± + Î²) is
(A) 0
(B) 4
(C) -4
(D) 16

13. 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

14. Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is

(A) –c/a

(B) c/a
(C) 0

(D) 3

15. The number of polynomials having zeroes as 4 and 7 is
(A) 2
(B) 3
(C) 4
(D) more than 4

16. If a – b, a and a + b are zeroes of the polynomial 2x³ – 6x² + 5x – 7, then the value of a is
(A) 1
(B) 2
(C) -5
(D) 7

17. If one of the zeroes of the quadratic polynomial (k – 1)x2 + kx + 1 is –3, then the value of k is

(A) 4/3

(B) –4/3

(C) 2/3

(D) –2/3

18. 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

19. 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

20. 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

21. 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

22. If Î± and Î² are zeroes of x2 – 4x + 1, then 1/Î± + 1/Î² – Î±Î² is

(A) 3

(B) 5

(C) –5

(D) –3