## Class 10 Maths MCQs Chapter 2 Polynomials

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**

Answer: b

2. Given that two of the zeroes of the cubic poly-nomial ax^{3} + bx² + cx + d are 0, the third zero is

**Answer**

Answer: a

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

**Answer**

Answer: a

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

(a) x²- x + 12

(b) x² + x + 12

(c) \(\frac{x^{2}}{2}-\frac{x}{2}-6\)

(d) 2x² + 2x – 24

**Answer**

Answer: c

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

**Answer**

Answer: d

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

(a) 1

(b) 2

(c) 3

(d) more than 3

**Answer**

Answer: d

7. Given that one of the zeroes of the cubic polynomial ax^{3} + bx² + cx + d is zero, the product of the other two zeroes is

**Answer**

Answer: b

8. If one of the zeroes of the cubic polynomial x^{3} + 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**

Answer: a

9. 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**

Answer: b

10. 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**

Answer: a

11. 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**

Answer: c

12. 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.

**Answer**

Answer: a

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

**Answer**

Answer: d

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

(a) 2

(b) 3

(c) 4

(d) more than 4

**Answer**

Answer: d

15. 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**

Answer: b

16. 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**

Answer: a

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

**Answer**

Answer: c

18. 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**

Answer: b

19. 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**

Answer: d

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

**Answer**

Answer: b

21. If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, then the value of p is

**Answer**

Answer: b

22. 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**

Answer: b

23. If x^{3} + 1 is divided by x² + 5, then the possible degree of quotient is

(a) 0

(b) 1

(c) 2

(d) 3

**Answer**

Answer: b

24. If x^{3} + 11 is divided by x² – 3, then the possible degree of remainder is

(a) 0

(b) 1

(c) 2

(d) less than 2

**Answer**

Answer: d

25. If x^{4} + 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**

Answer: a

26. If x^{5} + 2x^{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

**Answer**

Answer: c

27. If x^{5} + 2x^{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

**Answer**

Answer: c

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

(a) 0

(b) 1

(c) 2

(d) 3

**Answer**

Answer: b

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

(a) 0

(b) 1

(c) 2

(d) 3

**Answer**

Answer: c

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

(a) 0

(b) 1

(c) 2

(d) 3

**Answer**

Answer: d

31. If one of the zeroes of the cubic polynomial x^{3} + 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**

Answer: c

32. 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**

Answer: d

33. 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**

Answer: b