Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 670: 51

Answer

$s^2-\frac{301}{200}s+\frac{1703}{400}+\frac{{891}}{{4(200s+300)}} $

Work Step by Step

With the given revenue and expenses, then $$ \frac{\text{revenue}}{\text{expenses}}=\frac{200s^3-s^2+400s+1500}{200s+300} .$$ Using the long division method shown below, then $$\begin{aligned} & (200s^3-s^2+400s+1500)÷(200s+300) \\&= s^2-\frac{301}{200}s+\frac{1703}{400}+\frac{\color{red}{891}}{\color{blue}{4(200s+300)}} .\end{aligned} $$
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