Answer
$x^2+x+1$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
(x^4 + x^3 + x^2) \div x^2=\frac{x^4 + x^3 + x^2}{x^2}
\\ =\frac{x^4 }{x^2}+\frac{ x^3 }{x^2}+\frac{ x^2}{x^2}\\
=x^2+x+1
.
$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 5 - Section 5.6 - Division by a Monomial - Exercise - Page 227: 33
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