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: 31

Answer

$4q^2+2q+\frac{3}{2}+\frac{9}{2q-2}$

Work Step by Step

Re-arranging the order of the terms, the given is equivalent to $$ (8q^3-4q^2-q+6)÷(2q-2) .$$ Using the long division method shown below, then $$\begin{aligned} & (8q^3-4q^2-q+6)÷(2q-2) \\&= 4q^2+2q+\frac{3}{2}+\frac{9}{2q-2} .\end{aligned} $$
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