Polynomials and Factoring MCQ Test 4

1. What is the root of the equation x^2 - 6 = 0?

2. Factor the trinomial: x^2 - 8x + 16

3. What is the leading coefficient of the polynomial 5x^4 - 3x^3 + 7x^2 - 2x + 1?

4. What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 7x - 1?

5. If n(x) = x^2 - 3x + 2, what is n(2)?

6. If h(x) = x^4 - 4x^3 - 3x^2 + 2x + 7, what is h(-3)?

7. Express as a single fraction: (1/x^2) + (1/2x) + (1/3)

8. Factor completely: 3x^2 + 12x + 12

9. What is the sum of the coefficients in the polynomial 2x^3 - 5x^2 + 3x - 7?

10. What is the product of the roots of the equation 4x^2 - 3x - 7 = 0?

11. Factorize the expression: 3x^2 - 5x + 2

12. What is the solution to the equation 2x^2 + 7x - 3 = 0?

13. What is the degree of the polynomial 3x^2 + 2x - 1?

14. If k(x) = x^3 + 2x^2 - x + 5, what is k(-1)?

15. If f(x) = 2x^3 - 5x^2 + 3x - 7, what is f(-1)?

16. Simplify the expression: (4x^2 + 7x - 2) / (2x + 1)

17. If m(x) = x^3 - 4x^2 + 6x - 1, what is m(1)?

18. Factor the trinomial: x^2 - 12x + 36

19. Solve for x: x^4 - 6x^2 + 9 = 0

20. Factor completely: 4x^3 - 8x^2 - 16x.