Answer
$9y^2+3y-3+\dfrac{4}{y+\dfrac{2}{3}}$
Work Step by Step
Using the long division below, then
\begin{array}{l}\require{cancel}\dfrac{
9y^3+9y^2-y+2
}{
y+\dfrac{2}{3}
}\\\\=
9y^2+3y-3+\dfrac{4}{y+\dfrac{2}{3}}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
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 - Page 370: 40
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