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 - Page 387: 16


$R=0$. $x+3$ is a factor

Work Step by Step

$f\left( x\right) =2x^{6}-18x^{4}+x^{2}-9=\left( x+3\right) q\left( x\right) +R$ $\Rightarrow f\left( -3\right) =2\times \left( -3\right) ^{6}-18\times \left( -3\right) ^{4}+\left( -3\right) ^{2}-9=0=R$ Since $R=0$, $x+3$ is a factor.
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