Alg Review Test 5 2009

Name ___________________________ Algebra ¾ Review 5 Perform the indicated operation. Show all work. 1. (5x3 – x + 3) + (x3 – 9x2 + 4x) – (x3 + 4x2 – 5x + +9)

2. (x – 6)(5x2 + x – 8)

3. (a3 + a2 – 4)(a3 +3)

4. (4m4 – 17m2 + 9m – 18) ÷ (2m2 – 2)

5. (5w4 + 2w2 – 15w + 10) ÷ (w + 2)

Given polynomial f(x) and a factor of f(x), factor f(x) completely. 6. f(x) = x3 – 5x2 – 2x + 24; x + 2

Score ____________

7. Use the following polynomial for parts a – c. x4 + 2x3 – 9x2 – 22x – 12 a) List the possible zeros. b) Use Descartes’ rule of signs to determine the possible numbers of positive real zeros, negative real zeros, and imaginary zeros. + zeros - zeros i zeros _____ _____ _____ _____

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c) Find all the zeros.

8. Use the following polynomial for parts a – c. x3 – 6x2 + 4x – 24 a) List the possible zeros. b) Use Descartes’ rule of signs to determine the possible numbers of positive real zeros, negative real zeros, and imaginary zeros. + zeros - zeros i zeros _____ _____ _____ _____ c) Find all the zeros.

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