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 670: 47

Answer

$6m^2-24m+99-\frac{326}{{m+4}}$

Work Step by Step

Re-arranging the order of the terms and filling out any missing terms, the given is equivalent to $$ (6m^3+0m^2+3m+70)÷(m+4) .$$ Using the long division method shown below, then $$\begin{aligned} & (6m^3+0m^2+3m+70)÷(m+4) \\&= 6m^2-24m+99+\frac{\color{red}{-326}}{\color{blue}{m+4}} \end{aligned} .$$
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