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