Answer
$3x+3$, $2x^2-3x-3$
Work Step by Step
Use long division as shown in the figure, we have $\frac{3x^4-x^2}{x^3-x^2+1}=3x+3 +\frac{2x^2-3x-3}{x^3-x^2+1}$. Thus the quotient is $3x+3$ and remainder is $2x^2-3x-3$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 196: 2
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