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## MCQ Questions for Class 10 Mathematics with Answers

## Q1. If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and -3, then

(i) a = -7, b = -1

(ii) a = 5, b = -1

(iii) a = 2, b = -6

(iv) a – 0, b = -6

(iv) a – 0, b = -6

## Q2. What is the quadratic polynomial whose sum and the product of zeroes is √2, ⅓ respectively?

(i)3x²-3√2x+1

(ii)3x²+3√2x+1

(iii)3x²+3√2x-1

(iv)None of the above

(i) 3x²-3√2x+1

## Q3. The zeroes of the quadratic polynomial x² + 1750x + 175000 are

(i) both negative

(ii) one positive and one negative

(iii) both positive

(iv) both equal

(i) both negative

## Q4. The zeroes of the quadratic polynomial x² +99x +127 are

(i) both positive

(ii) both negative

(iii) one positive and one negative

(iv) both equal

(ii) both negative

## Q5. A quadratic polynomial, whose zeroes are 5 and –8 is

(i) x² +3x – 40

(ii) x² -3x – 40

(iii) x² -13x – 40

(iv) None of these

(i) x² +3x – 40

## Q6. The number of polynomials having zeroes as -2 and 5 is

(i) 1

(ii) 2

(iii) 3

(iv) more than 3

(iv) more than 3

## Q7. If the zeroes of the quadratic polynomial ax²+bx+c, c≠0 are equal, then

(i) c and b have opposite signs

(ii) c and a have opposite signs

(iii) c and b have same signs

(iv) c and a have same signs

(iv) c and a have same signs

## Q8. If 5 is a zero of the quadratic polynomial, x² – kx – 15 then the value of k is

(i) 2

(ii) -2

(iii) 4

(iv) – 4

(i) 2

## Q9. If f(x) = ax² + bx + c has no real zeroes and a + b + c < 0, then:

(i) c = 0

(ii) c > 0

(iii) c < 0

(iv) none of these

(iii) c<0

## Q10. Given that two of the zeroes of the cubic polynomial ax 3 + bx² + cx + d are 0, the value of c is

(i) equal to 0

(ii) can’t say

(iii) greater than 0

(iv) less than 0

(i) equal to 0

## Q11. The zeroes of the quadratic polynomial x² + kx + k, k? 0,

(i) cannot both be positive

(ii) cannot both be negative

(iii) are always unequal

(iv) are always equal

(i) cannot both be positive

## Q12. If one of the zeroes of cubic polynomial is x³+ax²+bx+c is -1, then product of other two zeroes is:

(i) b-a-1

(ii) b-a+1

(iii) a-b+1

(iv) a-b-1

(ii) b-a+1

## Q13. The number of zeros of a cubic polynomial is

(i) 3

(ii) at least 3

(iii) 2

(iv) at most 3

(iv) at most 3

## Q14. If one root of the polynomial p(y) = 5y² +13y + m is reciprocal of other, then the value of m is

(i) 6

(ii) 0

(iii) 5

(iv) 1/5

(iii) 5

## Q15. If the graph of a polynomial intersects the x-axis at exactly two points, then it

(i) can be a cubic or a quadratic polynomial

(ii) cannot be a linear or a cubic polynomial

(iii) can be a quadratic polynomial only

(iv) can be a linear or a quadratic polynomial

(i) can be a cubic or a quadratic polynomial

## Q16. The number of polynomials having zeroes as 4 and 7 is

(i) 2

(ii) 3

(iii) 4

(iv) more than 4

(iv) more than 4

## Q17. If p(x) is a polynomial of degree one and p(i) = 0, then a is said to be:

(i) Zero of p(x)

(ii) Value of p(x)

(iii) Constant of p(x)

(iv) None of the above

(i) Zero of p(x)

### Q18. If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is -1, then the product of the other two zeroes is

(i) b – a + 1

(ii) b – a – 1

(iii) a – b + 1

(iv) a – b – 1

(i) b – a + 1

## Q19. Which of the following is a polynomial: C

(i) x² + 1/x

(ii) 2x² -3√x +1

(iii) 3x² -3x +1

(iv) x² + x-² +7

(iii) 3x² -3x +1

## Q20. Find the zeros of x(x – 3)

(i) 1,3

(ii) 0, 2

(iii) 0, 3

(iv) 2, 1

(iii) 0, 3

## Q21. The zeroes of the quadratic polynomial x² – 15x + 50 are

(i) both negative

(ii) one positive and one negative

(iii) both positive

(iv) both equal

(iii) both positive

## Q22. A polynomial of degree n has:

(i) Only one zero

(ii) At least n zeroes

(iii) More than n zeroes

(iv) Atmost n zeroes

(iv) Atmost n zeroes

## Q23. The graph of the polynomial f(x) = 2x – 5 intersects the x – axis at

(i) (5/2, 0)

(ii) (-5/2, 0)

(iii) (-5/2, 5/2)

(iv) (5/2, -5/2)

(i) (5/2, 0)

## Q24. If a and b are zeroes of p(x) = x² + x -1, then 1/α + 1/β + equals to

(i) –1

(ii) 1

(iii) 2

(iv) 0

(ii) 1

## Q25. The value of 6a + 11 b , if x³ – 6x² + ax + b is exactly divisible by (x² – 3x + 2) is

(i) 0

(ii) 132

(iii) 66

(iv) – 66

(i) 0

## Q26. If x³ + 11 is divided by x² – 3, then the possible degree of remainder is

(i) 0

(ii) 1

(iii) 2

(iv) less than 2

(iv) less than 2

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## MCQ Questions for Class 10 Mathematicss with Answers

**Lesson 1. Real Numbers Class 10 MCQs****Lesson 2. Polynomials Class 10 MCQs****Lesson 3. Pair Of Linear Equations In Two Variables Class 10 MCQs****Lesson 4. Quadratic Equations Class 10 MCQs****Lesson 5. Arithmetic Progression Class 10 MCQs****Lesson 6. Triangles Class 10 MCQs****Lesson 7. Coordinate Geometry Class 10 MCQs****Lesson 8. Introduction To Trigonometry Class 10 MCQs****Lesson 9. Some Applications Of Trigonometry Class 10 MCQs****Lesson 10. Circles Class 10 MCQs****Lesson 11. Constructions Class 10 MCQs****Lesson 12. Areas Related To Circles Class 10 MCQs****Lesson 13. Surface Areas And Volumes Class 10 MCQs****Lesson 14. Statistics Class 10 MCQs****Lesson 15. Probability Class 10 MCQs**