Answer
$x^2+1$ and $x\ne2.$
Work Step by Step
$\frac{x^3-2x^2+x-2}{x-2}=\frac{x^2(x-2)+(x-2)}{x-2}=\frac{(x-2)(x^2+1)}{x-2}=x^2+1$ and $x\ne2.$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 414: 50
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