Class 10 Maths Polynomials MCQ

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

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

ANSWER= C. 2

 

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

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

ANSWER= D. 3

 

3. 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

ANSWER= C. q – p + 1

 

4. 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

ANSWER= D. -10

 

5. 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

ANSWER= B. -2

 

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

A. One
B. Two
C. Three
D. Four

ANSWER= D. Four

 

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

A. a > 0
B. a < 0
B. a = 0
D. None

ANSWER= A. a > 0

 

8. 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. a < 0

 

9. 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. a cubic polynomial

 

10. 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. 4

 

11. 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. ≤ 1

 

12. 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. 1

 

13. Dividend is equal to

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

ANSWER= A. divisor × quotient + remainder

 

14. 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. x² – 2x + 1

 

15. 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. x³ – 2x² + 4x

 

16. 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. -10

 

17. 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. a – 0, b = -6

 

18. 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. b – a + 1

 

19. 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

ANSWER= B. both negative

 

20. 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. cannot both be positive

 

21. 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

ANSWER= C. c and a have the same sign

 

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

A. 2
B. 3
C. 4
D. more than 4

ANSWER= D. more than 4

 

23. 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

ANSWER= B. x² + 9x + 20

 

24. 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

ANSWER= A. both negative

 

25. 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

ANSWER= C. both positive

 

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

A. both negative
B. one positive and one negative
C. both positive
D. both equal

ANSWER= B. one positive and one negative

 

27. 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

ANSWER= D. both equal and positive

 

28. 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

ANSWER= B. both cannot be positive

 

29. 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

ANSWER= B. A and C have the same sign

 

30. 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. 1

 

31. 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. less than 2

 

32. 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

ANSWER= A. 3, 0

 

33. If x5 + 2x4 + 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

ANSWER= C. 3

 

34. If x5 + 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. less than 3

 

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

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

ANSWER= D. 3

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