Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.4 - Dividing Polynomials; Remainder and Factor Theorems - Exercise Set - Page 364: 53

Answer

$0.5x^2-0.4x+0.3$

Work Step by Step

Step 1. Let the length be $y$ units; we have the area as $(x+0.2)y=0.5x^3-0.3x^2+0.22x+0.06$, which gives $y=\frac{0.5x^3-0.3x^2+0.22x+0.06}{x+0.2}$ Step 2. Using synthetic division as shown in the figure, we have $y=0.5x^2-0.4x+0.3$
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