1. What is the degree of the following polynomials?

a. x5 + 3x4 + 5x3 − 2x2 +10x + 20
b.3x − 5x3 − 2x2
c.(x + 3)(x − 2)(x + 4)

2. State whether or not the following polynomials are cubics?

a. 3x4 + 5x3 − 2x2
b.3x − 5x3 − 2x2
c.(x + 3)(x − 2)

3. If P(x) = 2x2 +10x + 20 Evaluate:
(a) P(2)
(b) P(-1)
(c) P(0.5)

4. If g(x) = 3x3 − 2x2 +5x + 10 Evaluate:
(a) g(3)
(b) g(1)
(c) g(-2)

5. Solve these polynomial equations:

a. (x − 2)(x + 3)(x -7) = 0
b. (3x + 4)(x − 1) = 0
c. (x − 1)(x − 2)(x − 3)(x − 4) = 0
d. (2x − 3)(3x − 1)(4x + 1) = 0

6. Use the Factor Theorem to factorise these cubics:

a. p3 − p2 − 4p + 4

b. q3 + q2 − 10q + 8

c. x3 − 3x2 − 10x + 24

d. x3 − 6x2 + 9x − 4

e. p3 + 3p2 − p − 3

f. q3 + 6q2 + 11q + 6

g. x3 − 8x2 + 21x − 18