College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.3 - Page 374: 29

Answer

$x^{3}+4x^{2}+16x+64$

Work Step by Step

Arrange the powers... $(x^{4}+0x^{3}+0x^{2}+0x-256)\div(x-4)$ (watch out for the missing powers) $\begin{array}{lllllll} \underline{4}| & 1 & 0 & 0 & 0 & -256 & \\ & & 4 & 16 & 64 & 256 & \\ & -- & -- & -- & -- & -- & \\ & 1 & 4 & 16 & 64 & 0 & \end{array}$ $(x^{4} -256)\div(x-4)=$ $=x^{3}+4x^{2}+16x+64$
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