1. Warm Up Use long division to find (6 𝑥 3 + 𝑥 2 + x) ÷ (2x + 1).
Simplify (4 𝑥 3 – 2 𝑥 x + 8) ÷ (2x + 1).
A 2 𝑥 2 – 2x 𝑥 + 1 B 2 𝑥 – 9 2𝑥 + 1
C 2 𝑥 – 12 2𝑥 D 𝑥 2 – 4x + 6 – 14 2𝑥 + 1

2. Review #1

3. Review #2 Factor 27 𝑥 3 – 1 completely.
A (3x – 1)(9 𝑥 x + 1) B (3x – 1)(9 𝑥 2 – 3x – 1)
C (3𝑥 – 1) D (3x – 1)(9 𝑥 2 – 3x + 1)

4. Review #3 Find p(–3) if p(x) = 4 𝑥 3 – 5 𝑥 2 + 7x – 10.
A –94 B 32 C –184 D –142.

5. Review #4
Solve 𝑏 𝑏 2 – 24 = 0.
A –2, – 6 , 6 , 2 C –2, 2, –i 6 , i 6
B – 6 , 2, 2i, i D –2i, 2i, – 6 , 6

6. Review #5
Which pair of values could NOT be the roots of a quadratic polynomial?
A. 2, -1 B. 4, 4
C. 4-2i, 4+2i D. 3+5i, 3+5i

7. Review #6
One factor of 𝑥 𝑥 2 – 11x – 12 is x + 4. Find the remaining factors.
A x + 1, x B x – 1, x + 3
C x + 1, x – 3 D x – 1, x – 3

8. Review #7 Find all the rational zeros of
g(x) = 2 𝑥 3 – 11 𝑥 x + 21.
F –1, 3, G ±1, ±3, ± 7 2
H –1, 3 J –1, 3, 7