Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.2 Simplifying Rational Expressions - 7.2 Exercises - Page 575: 27

Answer

$= 2x^{2} + x - \frac{4}{5}$

Work Step by Step

$\frac{10x^{3}+5x^{2}-4x}{5x}$ $= \frac{x(10x^{2}+5x-4)}{x(5)}$ $= \frac{10x^{2}+5x-4}{5}$ $= \frac{10x^{2}}{5} + \frac{5x}{5} - \frac{4}{5}$ $= \frac{2x^{2}}{1} + \frac{x}{1} - \frac{4}{5}$ $= 2x^{2} + x - \frac{4}{5}$
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