## Algebra 1

Published by Prentice Hall

# Chapter 11 - Rational Expressions and Functions - Mid-Chapter Quiz: 6

#### Answer

Length $=(w+2)$

#### Work Step by Step

Formula to calculate the volume = Length X Breadth X Height or, $V =L \times B \times H$ $(2w^3+7w^2+6w)=w(2w+3) \times length$ Need to find the common factors of the given expression. Length=$\dfrac{(2w^3+7w^2+6w)}{w(2w+3)}$ $=\dfrac{(2w+3)(w+2)}{(2w+3)}$ $=(w+2)$ After simplification, we get Length $=(w+2)$

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