Answer
$x^2+x-1-\dfrac{2}{x+5}$
Work Step by Step
Using the synthetic division below, then
\begin{array}{l}\require{cancel}\dfrac{
x^3+6x^2+4x-7
}{
x+5
}\\=
x^2+x-1-\dfrac{2}{x+5}
.\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: 26
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