Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - Test - Page 403: 6

Answer

Yes, $6^3+7x^2-14x-8$.

Work Step by Step

Let $f(x)=6x^4-11x^3-35x^2+34x+24$, use synthetic division as shown in the figure, we have $\frac{f(x)}{x-3}=6^3+7x^2-14x-8$. Thus $x-3$ is a factor of $f(x)$ and the other factor is $6^3+7x^2-14x-8$.
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