Polynomials and Factoring MCQ Test: Polynomials and Factoring MCQs - Practice Questions
1. What is the root of the equation x^2 - 6 = 0?
2. What is the solution to the equation 5x^2 + 2x - 1 = 0?
3. If k(x) = x^3 + 2x^2 - x + 5, what is k(-2)?
4. If f(x) = x^4 - 5x^3 + 9x^2 - 7x + 2, what is f(1)?
5. Simplify the expression: (4x^2 + 7x - 2) / (2x + 1)
6. Factor the quadratic expression: x^2 + 5x + 6.
7. Determine the roots of the equation: 2x^2 - 7x + 5 = 0
8. Factor the trinomial: x^2 - 12x + 36
9. What is the product of the roots of the equation 4x^2 - 3x - 7 = 0?
10. Factorize completely: 4x^3 - 27y^3
11. If g(x) = x^5 - 2x^4 + 3x^3 - 4x^2 + 5x - 6, what is g(-2)?
12. Solve for x: x^4 - 6x^2 + 9 = 0
13. Factor the expression: x^3 + 8
14. Factorize: x^2 + 10x + 25
15. What is the leading coefficient of the polynomial 5x^4 - 3x^3 + 7x^2 - 2x + 1?
16. Express as a single fraction: (1/x) + (1/2x) + (1/3x)
17. Factorize: x^2 + 5x + 6
18. Evaluate the expression: 3(x^2 + 2) - 2(x - 1) when x = 3
19. Determine the degree of the polynomial: 7y^4 - 2y^2 + 3.
20. If h(x) = 2x^2 - 4x - 6, what is h(3)?
21. Evaluate the expression: 4(x^3 + 2) - 3(x - 1) when x = 4
22. Simplify the expression: (4a^2 - 9b^2)/(2a - 3b).
23. What is the remainder when dividing 3x^5 - 2x^4 + x^3 - 5x^2 + 4x - 1 by x - 2?
24. Factor the quadratic expression: 6x^2 + 5x - 1
25. Find the roots of the quadratic equation: 3x^2 - 5x - 2 = 0.
26. Factor the quadratic expression: 8x^2 - 2x - 1
27. Find the sum of the cubes of the roots of the equation: 3x^3 - 4x^2 + 5x - 1 = 0
28. Factor the expression: x^2 + 6x + 9
29. If h(x) = x^4 - 4x^3 - 3x^2 + 2x + 7, what is h(-3)?
30. If f(x) = 2x^3 - 5x^2 + 3x - 7, what is f(-1)?
31. If g(x) = x^4 - 6x^3 + 11x^2 - 6x, what is g(2)?
32. Factor the trinomial: x^2 - 8x + 16
33. Express as a single fraction: (1/x^2) + (1/2x) + (1/3)
34. What is the root of the equation x^2 - 4 = 0?
35. What is the degree of the polynomial 3x^2 + 2x - 1?
36. What is the degree of the polynomial 3x^2 - 2x + 5?
37. If k(x) = x^3 + 2x^2 - x + 5, what is k(-1)?
38. Factor completely: 4x^3 - 8x^2 - 16x.
39. Simplify the expression: (4x^2 + 7x - 2) / (2x - 1)
40. If n(x) = x^2 - 3x + 2, what is n(2)?
41. Factor the expression: 4x^2 - 9
42. What is the product of the roots of the equation 3x^2 - 2x - 8 = 0?
43. Simplify the expression: 4x^2 - 9.
44. If m(x) = x^3 - 4x^2 + 6x - 1, what is m(1)?
45. Factorize the expression: 2x^2 + 5x + 3
46. Solve for x: x^2 - 6x + 9 = 0
47. What is the remainder when dividing 4x^3 - 9x^2 + 5x - 2 by x - 2?
48. What is the sum of the coefficients in the polynomial 2x^3 - 5x^2 + 3x - 7?
49. Solve for x: 2x^2 + 5x - 3 = 0
50. Factorize the expression: 3x^2 - 5x + 2