### Class 10 Polynomials mcqs –

Class 10 Maths chapter 2 Polynomials mcqs (multiple choice questions) for term 1 exam 2021-22. All the questions are important for the students whether they have taken basic or standard maths. All questions have been prepared for the best preparation by our expert team. Objective type questions are the part of the term 1 board exam 2021-22.

CBSE introduced the new pattern for board examination for the session of 2021-22. Term 1 exam of mcq questions. And Term 2 is of subjective questions.

Solve this quiz and get your score.

### Class 10 polynomials mcqs for term 1 exams

- 1. If ꞵ,ꬰ are the zeroes of the polynomial f(x)=x
^{2}-p(x+1)-c such that (ꞵ +1)( ꬰ +1)=0 , then c is equal to - (a) 1 (b) 0 (c) -1 (d) 2

- 2. If 3 is one zero of the polynomial f(x)=9x
^{2}-3a(a-1)x +5 then the value of a is - (a) 81/5 (b) 95/9 (c) 40/9 (d) None of these

3. The zeroes of the quadratic polynomial; x^{2} + (m+1)x + n are 4and 5 , then

(a) m = – 20, n = – 80 (b) m = – 20, n = 80

(c) m = – 10, n = – 20 (d) m = 20, n = – 10

4. if p – q + r = 0 then a zero of polynomial px^{2} + qx + r is

(a) 0 (b) 1 (c) -1 (d) None of these

- 5. If one zero if one zero of polynomial p(x) = (k
^{2}+9)x^{2}+ 9x + 6k is the reciprocal of the other zero then k is - (a) -2 (b) 3 (c) 2 (d) -3

- 6. If the sum of zeroes of the quadratic polynomial kx
^{2}+ 2x + 3k is equal to the product of their zeroes , then k is equal to - (a) 1/3 (b) -2/3 (c) -1/3 (d) 2/3

- 7. A quadratic polynomial can have at most _____ zeroes
- (a) 0 (b) 1 (c) 2 (d) Infinite

8. The sum and product of zeroes of polynomial are 1/3 and -2. Then the corresponding quadratic equations is

(a) 4x^{2} + x – 4 (b) x^{2} -4x – 4 (c) 4x^{2} -4x -1 (d) 3x^{2} – x -6

- 9. If zeroes ꬰ and ꞵ of a polynomial x
^{2}– 7x + k is are such that ꬰ – ꞵ =1 then the value of k is – - (a) 21 (b) 12 (c) 9 (d) 8
- 10. If zeroes ꬰ and ꞵ of a quadratic polynomial 2x
^{2}+ kx+ 4 and if ꬰ^{2}+ ꞵ^{2}= 8, then k is equal to - (a) +4 underroot 3, -4 underroot 3 (b) +3 underroot 3, -3 underroot 3
- (b) +2 underroot 3, -2 underroot 3 (d) +underroot 3, -underroot 3

### Important question for class 10

- 11. If zeroes ꬰ and ꞵ of a quadratic polynomial P(x) = 4x
^{2 }+ 3x +7, then the value of ꬰ/ ꞵ + ꞵ/ ꬰ is – - (a) 47/28 (b) -47/28 (c) -28/47 (d) 28/47
- 12. A quadratic polynomial whose one zero is 5 and product of zeroes is 0 , is
- (a) x
^{2}-5 (b) x^{2}-5x (c) 5x^{2}+1 (d) x^{2}+5x

13. Given figure shows the graph of the polynomial f(x) = ax^{2} + bx +c –

(a) a<0 , b<0 and c>0 (b) a>0 , b<0 and c>0

(c) a<0 , b<0 and c<0 (d) a>0 , b>0 and c>0

- 14. The decimal expansion of the rational number 53/(2⁴ x 5³) will terminate after how many places of decimal.
- (a) 1 (b) 2 (c) 3 (d) 4

- 15. Which of the following is not a polynomial?
- (a) 2x
^{-3}– 5 + 3x^{-1}(b) x^{3}+ 2x – 9 - (c) (x-2)
^{2}+ 3x (d) (2x + 10)(x^{2}-25)/(x+5) - 16. If zeroes ꬰ and ꞵ of a quadratic polynomial f(x) = px
^{2}+ qx +r, then the value of ꬰ / ꞵ + ꞵ / ꬰ + 2 is equal to – - (a) q
^{2}/ rp (b) q^{2}/ r^{2}p (c) q^{2}/ p^{2}r (d) None of these

- 17. For what value of k , does -4 is a zero of polynomial x
^{2}-x-(2k+2) ? - (a) 7 (b) 8 (c) 9 (d) 10

- 18. The value of k such that the polynomial x
^{2}– (k+4)x – 2k + 3 has sum of its zero equal to double of their product is - (a) 1/5 (b) -2/5 (c) 2/5 (d) 4/5

- 19. Sum of zeroes of f(x) = x
^{2}-16 is – - (a) 16 (b) 0 (c) 4 (d) None of these

- 20. The quadratic polynomial whose zero are 3/2 and 2/3 is
- (a) x
^{2}– 13x/6 + 1 (b) x^{2}+ 13x/6 + 2 - (c) x
^{2}+ 13x/6 + 1 (d) none of these

#### Related post –

Class 10 maths chapter 8 trigonometry mcqs

Class 10 maths chapter 7 coordinate geometry mcqs

- 21. If a and ½ are zeroes of quadratic polynomial x
^{2}-x+8 then a is - (a) 4 (b) 1/ 4 (c) -1/4 (d) 16

- 22. The sum of the product of the zeroes of a quadratic polynomial are 1/ 4 and – 1/ 4 respectively. then the quadratic polynomial is
- (a) 4x
^{2}+ x +1 (b) 3x^{2}– x + 2 (c) 4x^{2}– x -1 (d) 3x^{2}+ x – 2 - 23. The graph y=p(x) are given below,the polynomial p(x). then the number of zeroes is –

- (a) 0 (b) 2 (c) 1 (d) 3

- 24. If p(x) is a polynomial of at least one degree and p(k)=0 then k is known as
- (a) Value of p(x) (b) Zero of p(x)
- (c) Constant term of p(x) (d) None of these

- 25. If the sum and product of zeroes of a quadratic polynomial is 3 and -2 respectively. Then the quadratic polynomial is
- (a) x
^{2}– 3x + 2 (b) x^{2}+ 3x – 2 (c) x^{2}– 3x – 2 (d) x^{2}– 5x – 4

- 26. The number of zeroes lying between 4 and -4 of the polynomial f(x) is given below is-

- (a) 2 (b) 3 (c) 4 (d) 1

- 27. If one of the zeroes of x
^{2}– 3x +k is 2 , then the value of k is - (a) 10 (b) 2 (c) -7 (d) -2

- 28. The zeroes of polynomial x
^{2}+ kx + k, where k>0 - (a) Are both positive (b) Are both negative
- (c) Are always equal (d) Are always unequal

- 29. If -2 is one of the zeroes of polynomial x
^{2}– x + k , then the value of k is - (a) -6 (b) -8 (c) 8 (d) -7

### Previous year questions

- 30. If one of the zeroes of polynomial 2x
^{2}– 6kx + 6x – 7 is of negative order , then k is equal to - (a) -1 (b) 1 (c) 0 (d) -1 /2

- 31. If the zeroes of quadratic polynomial ax
^{2}+ x + a are equal , then the value of a^{2}is - (a) ½ (b) 4 (c) 2 (d) ¼

- 32. If both the zeroes of quadratic polynomial x
^{2}– 2kx + 2 are equal in magnitude and opposite in sign , then value of k is - (a) ½ (b) -1/2 (c) 0 (d) -1
- 33. If the sum of zeroes of polynomial g(x)= (p
^{2}-23) x^{2}– 2x – 12 is 1, then p takes the value(s) - (a) underroot 23 (b) -23 (c) 2 (d) +5,-5

- 34. Quadratic polynomial having 5 and -3 as zeroes is-
- (a) x
^{2}– 2x – 15 (b) x^{2}– 2x + 15 - (c) x
^{2}+ 2x + 15 (d) x^{2}+ 2x – 15

- 35. The sum and product of zeroes of quadratic polynomial are 0 and underroot 3 respectively. then quadratic polynomial is
- (a) x
^{2}– underroot 3 (b) x^{2}+ underroot 3 - (c) x
^{2}– 3 (d) none of these

- 36. If zeroes ꬰ and ꞵ of a polynomial x
^{2}– 5x + k=c is are such that ꬰ – ꞵ = 3 then the value of c is - (a) 0 (b) 1 (c) 4 (d) 5

- 37. If ꞵ,ꬰ are the zeroes of the polynomial f(x)=x
^{2}-p(x+2)-q such that (ꞵ +1)( ꬰ +1) is equal to – - (a) q-1 (b) 1-q-p (c) q (d) 1+q

- 38. If one of the zeroes of quadratic polynomial x
^{2}+ ax + b is negative of the other , then it – - (a) Has no linear term and constant term is negative
- (b) Has no linear term and 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

- 39. If one of the zeroes of quadratic polynomial (k-1)x
^{2}+ kx + 1 is 3 , then the value of k is - (a) 4/3 (b) -4/3 (c) 2/3 (d) -2/3
- Class 10 polynomials mcqs for best preparation of class 10 maths board exams.