Answer
$5x^2-11+\frac{x+20}{x^2+2}$
Work Step by Step
We use the long division as be shown in the figure below.
Checking:
$$
(x^2+2)(5x^2-11)+x+20\\
=5x^4-11x^2+10x^2-22+x+20\\
=5x^4-x^2+x-2
$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A31: 94
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