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 6.4 - Division of Polynomials - Exercise Set - Page 444: 4

Answer

$5x^{2}+10x-8-\displaystyle \frac{2}{x}$

Work Step by Step

Using the property: $\displaystyle \quad\frac{A+B}{C}=\frac{A}{C}+\frac{B}{C},$ $\displaystyle \frac{25x^{3}+50x^{2}-40x-10}{5x}=\frac{25x^{3}}{5x}+\frac{50x^{2}}{5x}-\frac{40x}{5x}-\frac{10}{5x}$ = $5x^{2}+10x-8-\displaystyle \frac{2}{x}$
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