Warm Up Use long division to find (6

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Presentation transcript:

Warm Up Use long division to find (6 𝑥 3 + 𝑥 2 + x) ÷ (2x + 1). Simplify (4 𝑥 3 – 2 𝑥 2 + 8x + 8) ÷ (2x + 1). A 2 𝑥 2 – 2x + 5 + 3 2𝑥 + 1 B 2 𝑥 2 + 4 – 9 2𝑥 + 1 C 2 𝑥 2 + 4 – 12 2𝑥 + 1 D 𝑥 2 – 4x + 6 – 14 2𝑥 + 1

Review #1

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

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

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

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

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