Quiz 6 with Answers - Intermediate Algebra | MA 103, Quizzes of Algebra

Download Quiz 6 with Answers - Intermediate Algebra | MA 103 and more Quizzes Algebra in PDF only on Docsity! MA 103 Quiz #6 – Spring, 2009 Riseberg (25 points) Name Solutions All problems on this quiz should be solved algebraically. You must show your work to receive credit. 1. (12 points) Factor completely. (a) 𝑥3 − 10𝑥2 + 25𝑥 = 𝑥 𝑥2 − 10𝑥 + 25 = 𝑥 𝑥 − 5 𝑥 − 5 = 𝑥(𝑥 − 5)2 (b) 3𝑥2 − 2𝑥 − 5 = 3𝑥2 − 5𝑥 + 3𝑥 − 5 = 𝑥 3𝑥 − 5 + 1 3𝑥 − 5 = 3𝑥 − 5 (𝑥 + 1) (c) 𝑥3 + 5𝑥2 − 4𝑥 − 20 = 𝑥2 𝑥 + 5 − 4 𝑥 + 5 = 𝑥 + 5 𝑥2 − 4 = 𝑥 + 5 𝑥 − 2 (𝑥 + 2) 2. (6 points) Solve the equation. 𝑥 − 4 𝑥 + 2 = 7 2 2 2 4 8 7 2 15 0 ( 5)( 3) 0 5 0 3 0 5 3 x x x x x x x x x x x                  3. (4 points) Find the zeros of the function 𝑓 𝑥 = 9𝑥2 − 16. 29 16 0 (3 4)(3 4) 0 3 4 0 3 4 0 3 4 3 4 4 4 3 3 x x x x x x x x x                4. (3 points) The graph of a polynomial function 𝑓 𝑥 is shown below. Find a possible function for 𝑓 𝑥 . 2( ) ( 8)( 12) 4 96f x x x x x     