Polynomials and Factoring MCQ Test: Polynomials and Factoring MCQs - Practice Questions
1. What is the solution to the equation 5x^2 + 2x - 1 = 0?
2. What is the degree of the polynomial 3x^2 - 2x + 5?
3. Factor the expression: x^2 + 6x + 9
4. Factorize the expression: 2x^2 + 5x + 3
5. If k(x) = x^3 + 2x^2 - x + 5, what is k(-2)?
6. What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7x - 1?
7. What is the product of the roots of the equation 3x^2 - 2x - 8 = 0?
8. If k(x) = x^3 + 2x^2 - x + 5, what is k(-1)?
9. Factorize completely: 4x^3 - 27y^3
10. If n(x) = x^2 - 3x + 2, what is n(2)?
11. Find the roots of the quadratic equation: 3x^2 - 5x - 2 = 0.
12. Simplify the expression: 4x^2 - 9.
13. Express as a single fraction: (1/x) + (1/2x) + (1/3x)
14. If h(x) = x^4 - 4x^3 - 3x^2 + 2x + 7, what is h(-3)?
15. What is the root of the equation x^2 - 6 = 0?
16. What is the sum of the roots of the equation 2x^2 - 5x + 3 = 0?
17. Factor completely: 4x^3 - 8x^2 - 16x.
18. Evaluate the expression: 4(x^3 + 2) - 3(x - 1) when x = 4
19. If h(x) = 2x^2 - 4x - 6, what is h(3)?
20. Determine the roots of the equation: 2x^2 - 7x + 5 = 0
21. If f(x) = x^4 - 5x^3 + 9x^2 - 7x + 2, what is f(1)?
22. Simplify the expression: (4x^2 + 7x - 2) / (2x - 1)
23. Factor the trinomial: x^2 - 8x + 16
24. If f(x) = 2x^3 - 5x^2 + 3x - 7, what is f(-1)?
25. If g(x) = x^5 - 2x^4 + 3x^3 - 4x^2 + 5x - 6, what is g(-2)?
26. Factor the quadratic expression: 6x^2 + 5x - 1
27. Simplify the expression: (4x^2 + 7x - 2) / (2x + 1)
28. Factor the expression: x^3 + 8
29. Solve for x: x^2 - 6x + 9 = 0
30. Factor the quadratic expression: 8x^2 - 2x - 1