Chapter 6 Semester Test Study Guide 1. Simplify (3𝑥 ! + 4𝑥)(𝑥 ! − 3𝑥 + 2) 2. 10𝑥 ! − 7𝑥 + 3 − (2𝑥 ! + 4𝑥 − 8) 3.
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4𝑥 !! 𝑦 ! −3𝑥 ! 𝑦 !! 5. Find p(-­‐4) if 𝑝 𝑥 = 𝑥 ! − 2𝑥 ! + 𝑥 + 4 6. If 𝑟 𝑥 = 𝑥 ! − 2𝑥 + 1, find 𝑟(2𝑎! ) 7. Use synthetic division to find (𝑥 ! + 4𝑥 ! − 17𝑥 − 40) ÷ (𝑥 + 3) 8. Factor 8𝑥 ! − 27 9. How many real zeros does the graph of 𝑥 ! − 5𝑥 ! + 4𝑥 + 3 have? 10. (𝑥 + 1) is a factor of 𝑥 ! − 3𝑥 ! − 6𝑥 + 8, find the remaining factors.