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: 31

Answer

$2x^{4}-7x^{3}+15x^{2}-31x+64-\displaystyle \frac{129}{x+2}$

Work Step by Step

Arrange the powers... $(2x^{5}-3x^{4}+x^{3}-x^{2}+2x-1)\div(x+2)$ (no missing powers) $\begin{array}{lllllll} \underline{-2}| & 2 & -3 & 1 & -1 & 2 & -1\\ & & -4 & 14 & -30 & 62 & -128\\ & -- & -- & -- & -- & -- & --\\ & 2 & -7 & 15 & -31 & 64 & -129 \end{array}$ Result: $=2x^{4}-7x^{3}+15x^{2}-31x+64-\displaystyle \frac{129}{x+2}$
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