Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 676: 71



Work Step by Step

Let $w$ be the width. Thus, $4x^{3}+6x^{2}=2x \times x \times w$ (Volume = length $\times$ width $\times$ height) Hence, $w = \frac{4x^{3}+6x^{2}}{2x^{2}}=\frac{2x^{2}(2x+3)}{2x^{2}}$ $w=2x+3$ (After dividing out the common factor $2x^{2}$)
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