Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-3 Dividing Polynomials - Practice and Problem-Solving Exercises - Page 681: 31


The answer is $4q^2+2q+\frac{3}{2}+\frac{9}{2q-2}$.

Work Step by Step

$(6-q+8q^3-4q^2) \div (2q-2)$ $=(8q^3-4q^2-q+6) \div (2q-2)$ $4q^2+2q+\frac{3}{2}$ _________________________ $2q-2)8q^3-4q^2-q+6$ $-8q^3+8q^2$ _________________________ $4q^2-q$ $-4q^2+4q$ _________________________ $3q+6$ $-3q+3$ _________________________ $9$ The answer is $4q^2+2q+\frac{3}{2}+\frac{9}{2q-2}$.
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