Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.5 The Real Zeros of a Polynomial Function - 4.5 Assess Your Understanding - Page 232: 7

Answer

(c).

Work Step by Step

We plug in $-x$ to get $f(-x)=3\cdot(-x)^4-2\cdot(-x)^3+7(-x)-2=3x^4+2x^3-7x-2.$ Therefore there are $2$ sign changes, hence the answer is (c).
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