College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.5 - The Real Zeros of a Polynomial Function - 5.5 Assess Your Understanding: 18

Answer

$R=0$ $x+4$ is a factor.

Work Step by Step

$f\left( x\right) =x^{6}-16x^{4}+x^{2}-16=\left( x+4\right) q\left( x\right) +R$ $\Rightarrow f\left( -4\right) =0=R$ Since $R=0$, $x+4$ is a factor.
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