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 - Chapter Review - Chapter Test - Page 245: 8

Answer

Answer may vary. $x^4-4x^3-2x^2+20x$

Work Step by Step

Answer may vary. Step 1. Given $n=4$ and zeros $x=-2,0,3+i$, we can identify the 4th zero as $x=3-i$ Step 2. We can write a possible function as $f(x)=(x+2)(x)(x-3-i)(x-3+i)=x(x+2)(x^2-6x+10)=x^4-4x^3-2x^2+20x$
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