Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.5 - Synthetic Division and the Remainder Theorem - Exercise Set - Page 453: 23

Answer

$f(3)=240$

Work Step by Step

The remainder theorem: If the polynomial f(x) is divided by $x-c$, then the remainder is $f(c).$ Divide $x^{4}+5x^{3}+5x^{2}-5x-6$ with $x-3,\qquad (c=3)$ $\begin{array}{rrrrrrrr} \underline{3}| &1 & 5 & 5 & -5 &-6 & & & \\ & & 3 & 24 & 87 & 246 & & & \\ & --& -- &-- &-- & -- & & & \\ &1 & 8 & 29 & 82 & \fbox{240} & & & \end{array}$ Remainder = $f(3)=240$
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