College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.3 - Page 375: 53

Answer

$l=0.5x^2-0.4x+0.3$

Work Step by Step

The Area of the rectangle is, $A=l \times w$, whereas $l$ is a length of the rectangle and $w$ is the width of the rectangle. To find the the length $l$, we can divide both sides of the formula by $w$. $A/w=l$. Therefore, $\begin{array}{lllll} \underline{-0.2}| & 0.5 & -0.3 & 0.22 & 0.06\\ & & -0.1 & 0.08 & -0.06\\ \hline & & & & \\ & 0.5 & -0.4 & 0.3 & 0 \end{array}$ $(0.5x^{3}-0.3x^2+0.22x+0.6)\div(x+0.2)=0.5x^2-0.4x+0.3$. There by dividing the area by width we can get the length. $l=0.5x^2-0.4x+0.3$
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