CBSE Class 10 Maths MCQs with Answers: Polynomials

MCQ Questions for Class 10 Maths Polynomials with Answers have a significant weightage in the CBSE Board Exams. These questions are prepared as per the latest syllabus and examination guidelines introduced by CBSE to help you ace the exam. Cracking MCQs makes you well acquainted with different questions expected to be asked in the exam.Going through Chapter 2 Polynomials MCQs persistently helps you to evaluate your exam preparation and identify your mistakes to focus more on those topics. With the right strategic plan that integrates generous time for practice and self-assessment, you can improve your chances of getting good scores.

Class 10 Chapter 2 Maths Polynomials MCQs

1. 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

Answer: B

2. 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

Answer: C

3. 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

Answer: D

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

A. 1
B. 2
C. 3
D. more than 3

Answer: D

5. 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

Answer: A

6. 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

Answer: A

7. 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

Answer: B

8. A polynomial of degree 3 is called

A. a linear polynomial
B. a quadratic polynomial
C. a cubic polynomial
D. a biquadratic polynomial

Answer: C

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

A. 0
B. 4
C. -4
D. 16

Answer: A

10. If the zeroes of the polynomial x³ – 3x² + x – 1 are s/t, s and st then value of s is

A. 1
B. -1
C. 2
D. -3

Answer: A

11. 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

Answer: B

12. If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

A. ≤ 1
B. ≥ 1
C. 2
D. 4

Answer: A

13. 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

Answer: A

14. Dividend is equal to

A. divisor × quotient + remainder
B. divisior × quotient
C. divisior × quotient – remainder
D. divisor × quotient × remainder

Answer: A

15. A quadratic polynomial whose sum of the zeroes is 2 and product is 1 is given by

A. x² – 2x + 1
B. x² + 2x + 1
C. x² + 2x – 1
D. x² – 2x – 1

Answer: A

16. 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

Answer: A

17. If the zeroes of the quadratic polynomial x² + bx + c , c ≠ 0are 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

Answer: C

18. 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

Answer: D

19. 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

Answer: A

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

A. 0
B. 1
C. 2
D. 3

Answer: B

21. 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

Answer: D

22. If x^5 + 2x⁴ + 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

Answer: C