Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 669: 24



Work Step by Step

The area of a square is given by $A_s=lw$. In this problem, the area is given by $A=r^3-24r-5$, the width is defined by $w=r-5$ and it asks for the length. To find the length, you will need to divide the function for $A$ by the function for $w$. You can add placeholders in order to divide. $$(r^3-0r^2-24r-5)\div(r-5)$$ Go through the process of long division: multiply the divisor, subtract that expression, bring the next term down, and repeat. Your remainder should be -10, so you can add $\frac{-10}{r-5}$ to your answer
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