Answer
$x^2 +\frac{x-2}{3x^3-1}$
Work Step by Step
We use the long division as shown in the figure below.
Checking:
$$
(3x^3-1)(x^2 )+x-2=3x^5-x^2 +x-2
$$
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: 96
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