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: 3

Answer

$3x-8+\displaystyle \frac{20}{x+5}$

Work Step by Step

Dividing with (x-c) ... $c=-5$ $\begin{array}{rrrr} \underline{-5}| &3 & 7 &-20\\ & & -15 & 40 \\ &--&--&--\\ &3 & -8 &20 \end{array}$ Quotient = $ 3x-8$ Remainder = $20$ $\displaystyle \frac{dividend}{divisor}=quotient+\frac{remainder}{divisor}$ $\displaystyle \frac{3x^{2}+7x-20}{x+5}$ = $3x-8+\displaystyle \frac{20}{x+5}$
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