Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set: 79

Answer

$(3x-7) \text{ inches}$

Work Step by Step

Using $A=lw$ or the forumula for the area of a rectangle, then \begin{array}{l}\require{cancel} A=lw \\\\ 15x^2-29x-14=(5x+2)w \\\\ \dfrac{15x^2-29x-14}{5x+2}=w \\\\ w=\dfrac{(5x+2)(3x-7)}{5x+2} \\\\ w=\dfrac{(\cancel{5x+2})(3x-7)}{\cancel{5x+2}} \\\\ w=3x-7 .\end{array} Hence, the width is $ (3x-7) \text{ inches} .$
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