Polynomials MCQ Questions for Class 10 Maths Chapter 2 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 2 Polynomials with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Polynomials. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

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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