Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 266: 39

Answer

(3, 0) (-3,0) (1/2,0) See graph below.

Work Step by Step

$P(x) = 2x^3 - x^2 - 18x + 9$ $P(x) = x^2 (2x - 1) - 9 (2x - 1)$ $P(x) = (x^2 - 9) (2x-1)$ $P(x) = (x-3) (x+3) (2x-1)$ Thus the zeros are (3, 0) (-3,0) (1/2,0)
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