Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Exercises to Skills Review for Chapter 11 - Page 494: 41

Answer

$\frac{13}{x^2}+\frac{1}{2x^3}$

Work Step by Step

Splitting the fraction into a sum of fractions leaves $$=\frac{26x}{2x^3}+\frac{1}{2x^3}=\frac{26}{2}\cdot\frac{x}{x^3}+\frac{1}{2x^3}=\frac{13}{x^{3-1}}+\frac{1}{2x^3}=\frac{13}{x^2}+\frac{1}{2x^3}$$
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