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 576: 70

Answer

$\frac{m^3-4m^2-8 m+50}{m-4}=m^2-8+\frac{18}{m-4}$

Work Step by Step

Given \begin{equation} \begin{aligned} \left(m^3-4m^2-8 m+50\right) \div(m-4). \end{aligned} \end{equation} Use synthetic division. \begin{equation} \begin{array}{r|rrrr} 4&1 & -4 & -8& 50 \\ & & 4 & 0& -32 \\ \hline & 1 & 0 & -8& 18 \end{array} \end{equation} The solution is \begin{equation} \begin{aligned} \frac{m^3-4m^2-8 m+50}{m-4}=m^2-8+\frac{18}{m-4}. \end{aligned} \end{equation}
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