Polynomials Class 9 MCQs Questions with Answers

1. When p(x) is divided by ax – b, then the remainder is

2. If a + b + c = 0, then the value of a³ + b³ + c³

3.

4. Find the degree of polynomial √2 .

5. Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.

6. Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.

7. One of the factors of (16y² – 1) + (1 – 4y)²

8. Zero of the polynomial p(x) = cx + d is

9. What is remainder when x³ – 2x² + x + 1 is divided by x – 1?

10. Find the coefficient of x² in (3x² – 5) (4 + 4x²).

11. Find the value of 525² – 475².

12. Find the value of p for which x + p is a factor of x² + px + 3 – p.

13. One of the factors of (x³ – 1) – (x – 1) is

14. One of the factors of (1 + 3y)² + (9y² – 1) is

15. If x – 2 is a factor of 5x² – kx – 18, then find the value of k.

16. If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions

17. If x/y + y/x = -1 (x, y ≠ 0), then find the value of x³ – y³

18. For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?

19. If x + 1/x = 4, then the value of x² + 1/x^2

20. If x^1/3 + y^1/3 + z^1/3 = 0, then which one of the expression is correct.