Welcome to your Polynomials MCQs Mock Test of 10th Class Mathematics

1.
Q1. Write a polynomial with zeros 1, – 1 and 1.

2.
2. If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

3.
Q3. The number of polynomials having zeroes as 4 and 7 is

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

5.
Q5. If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of the other two zeroes is

6.
6. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, then

7.
Q7. Find the quadratic polynomial whose zeros are 2 and -6

8.
8. The number of polynomials having zeroes as -2 and 5 is

9.
Q9. If 5 is a zero of the quadratic polynomial, x2 – kx – 15 then the value of k is

10.
Q10. If one of the zeroes of the cubic polynomial x3 + ax² + bx + c is -1, then the product of the other two zeroes is

11.
11. The zeroes of the quadratic polynomial x2 + 99x + 127 are

12.
12. The zeroes of the quadratic polynomial x² + kx + k, k? 0,

13.
13. If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then

14.
14. If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it

15.
Q15. The number of polynomials having zeroes – 1 and – 5 is :

16.
16. A quadratic polynomial, whose zeores are -4 and -5, is

17.
17. The zeroes of the quadratic polynomial x² + 1750x + 175000 are

18.
18. The zeroes of the quadratic polynomial x² – 15x + 50 are

19.
19. The zeroes of the quadratic polynomial 3x² – 48 are

20.
20. The zeroes of the quadratic polynomial x² – 18x + 81 are

21.
21. The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are

22.
22. If the zeroes of the quadratic polynomial Ax² + Bx + C, C # 0 are equal, then

23.
23. If x3 + 1 is divided by x² + 5, then the possible degree of quotient is

24.
24. If x3 + 11 is divided by x² – 3, then the possible degree of remainder is

25.
25. If x4 + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:

26.
26. If x5 + 2x4 + x + 6 is divided by g(x), and quotient is x² + 5x + 7, then the possible degree of g(x) is:

27.
27. If x5 + 2x4 + x + 6 is divided by g(x) and quo-tient is x² + 5x + 7, then the possible degree of remainder is:

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

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

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

31.
31. If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is

32.
32. If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is

33.
33. If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:

34.
33. If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:

35.
Q35. The number of zeros of a cubic polynomial is

36.
Q36. If x101 + 1001 is divided by x + 1, then remainder is:

37.
Q37. If one zero of a polynomial p(x) = ax² + bx + c(a ? 0) is zero, then, which of the following is correct:

38.
Q38. If -2 is a zero of p(x) = (ax³ + bx² + x – 6) and p(x) leaves a remainder 4 when divided by (x – 2), then the values of a and b are (respectively):

39.
Q39. sum of the squares of the zeroes of the polynomial p(x) = x² + 7x – k is 25, find k.

40.
Q40. If a, s are the zeroes of x² – 8x + ?, such that a – s = 2, then X =

41.
Q41. Find a and b so that the polynomial 6×4 + 8x³ – 5x² + ax + b is exactly divisible by 2x² – 5.

42.
Q42. Let, a, s, v be the zeroes of x³ + 4x² + x- 6 such that product of two of the zeroes is 6. Find the third zero.

43.
Q43. If the zeros of the polynomial x³ – 3x² + x +1 are p – q,p and p + q. Find the value of q.

44.
Q44. If P(x) and D(r) are any two polynomials such that D(x) ? 0, there exists unique polynomial Q(x) and R(x) such that, P(x) = D(x). Q(x) + R(x) where :

45.
Q45. When we divide x³ + 5x + 7 by x4 – 7x² – 6 then quotient and remainder are (respectively):

46.
Q46. The value of b, for which 2x³ + 9x² – x – b is exactly divisible by 2x + 3 is:

47.
Q47. A quadratic polynomial has :

48.
Q48. If a and s are two zeros of the polynomial p(x), then which of the following is a factor of p(x):

49.
Q49. Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time and the product of its zeros as -2, +5, -3, respectively.

50.
Q50. If 2 is a zero of p(x) = x² + 3x + k, find k: