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: 20


$R=2$ $x+\dfrac {1}{3}$ is not a factor.

Work Step by Step

$f\left( x\right) =3x^{4}+x^{3}-3x+1=\left( x+\dfrac {1}{3}\right) q\left( x\right) +R$ $\Rightarrow f\left( -\dfrac {1}{3}\right) =2=R\neq 0$ Since $R\ne0$, $x+\dfrac {1}{3}$ is not a factor.
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