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: 92


$3x-1+\frac{ x-2}{x^2}$

Work Step by Step

By dividing each term of the polynomial by $x^2$, we have $$ \frac{3x^3-x^2+x-2}{x^2}=3x-1+\frac{ x-2}{x^2}.$$ Checking: $$ x^2(3x-1)+ x-2=3x^3-x^2+x+1 .$$
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