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: 17

Answer

$R=1$ $x+4$ is not a factor.

Work Step by Step

$f\left( x\right) =4x^{6}-64x^{4}+x^{2}-15=\left( x+4\right) q\left( x\right) +R$ $\Rightarrow f\left( -4\right) =1=R\neq 0$ Since $R\ne0$, $x+4$ is not a factor.
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