Answer
$2x^2+\frac{-x^2+x+1}{2x^3-1}$
Work Step by Step
We use the long division as be shown in the figure below.
Checking:
$$
(2x^3-1)(2x^2)-x^2+x+1\\
=4x^5-2x^2-x^2+x+1\\
=4x^5-3x^2+x+1
$$
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: 95
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