Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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

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: $$ (x^2+2)(5x^2-11)+x+20\\ =5x^4-11x^2+10x^2-22+x+20\\ =5x^4-x^2+x-2 $$
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