Polynomials (Class- 9,Math) / General, Quiz / By gyanpur Please enter your email: 1. Find the product of (x – 1x) (x + 1x) (x² + 1×2) (a) x4 + 1×4 (b) x³ + 1×3 – 2 (c) x4 – 1×4 (d) x² + 1×2 + 2 2. If xy + yx = -1 (x, y ≠ 0), then find the value of x³ – y³ (a) 1 (b) -1 (c) 12 (d) 0 3. Find the value of 525² – 475². (a) 100 (b) 10000 (c) 50000 (d) 100000 4. One of the factors of (1 + 3y)² + (9y² – 1) is (a) 1 – 3y (b) 3 – y (c) 3y + 1 (d) y – 3 5. One of the factors of (x³ – 1) – (x – 1) is (a) x² + 1 (b) x² – 1 (c) x – 1 (d) x + 4 6. Find the degree of polynomial √2 . (a) 2 (b) 0 (c) 1 (d) 12 7. Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k. (a) 1 (b) -1 (c) 5 (d) 3 8. If x – 2 is a factor of 5x² – kx – 18, then find the value of k. (a) -1 (b) 1 (c) 0 (d) 5 9. Find the coefficient of x² in (3x² – 5) (4 + 4x²). (a) 12 (b) 5 (c) -8 (d) 8 10. Find the value of p for which x + p is a factor of x² + px + 3 – p. (a) 1 (b) -1 (c) 3 (d) -3 11. Zero of the polynomial p(x) = cx + d is (a) -d (b) -c (c) dc (d) –dc 12. Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y. (a) -1 (b) 1 (c) 0 (d) 2 13. One of the factors of (16y² – 1) + (1 – 4y)² (a) (4 + a) (b) (4 – y) (c) (4y + 1) (d) 8y 14. If a + b + c = 0, then the value of a³ + b³ + c³ (a) abc (b) -3abc (c) 0 (d) 3abc 15. If x13 + y13 + z13 = 0, then which one of the expression is correct. (a) x³ + y³ + z³ = 0 (b) x + y + z = 3x13y13z13 (c) x + y + z = 3xyz (d) x³ + y³ + z³ = 3xyz 16. If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions. (a) 2x – 3, 2x + 1 (b) 2x – 1, 2x + 3 (c) 3x + 1, 2x – 3 (d) 3x – 1, 2x + 3 17. If x + 1x = 4, then the value of x² + 1×2 (a) 8 (b) 14 (c) 16 (d) 20 18. For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3? (a) 1 (b) 2 (c) 3 (d) -3 19. When p(x) is divided by ax – b, then the remainder is (a) p(a + b) (b) P(−ba) (c) p(ab) (d) p(ba) 20. What is remainder when x³ – 2x² + x + 1 is divided by x – 1? (a) 0 (b) -1 (c) 1 (d) 2 Loading …
