EXCELLENCE ACADEMY
Polynomials
1. Classify x^3 − 2x^2 + x as linear, quadratic, or cubic.
2. State the degree of the polynomial 7x^4 + 3x^2 − x + 8.
3. If p(x) = x^2 + 2x + 1, find p(1).
4. Factorise x^2 − 4.
5. For what value of x does x^2 + 5x + 6 = 0?
6. If p(x) = x^3 − 3x^2 + 2x, find the value of p(−1).
7. Divide x^2 + 3x + 2 by x + 1.
8. Find the zeroes of the polynomial x^2 − 16.
9. Expand (x + 2)^2.
10. Is x = 1 a root of the polynomial x^3 − 6x^2 + 11x − 6?
11. If the remainder when x^2 + 4x + 5 is divided by x − 2 is
17, verify.
12. State the coefficient of x^2 in 5x^2 − 3x + 7.
13. What is the value of x^3 + x^2 + x + 1 when x = −1?
14. Find the value of k if x^2 + kx + 9 has (x + 3) as a factor.
