Answer
$-3a^2+2a-4.$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
\frac{27a^3 - 18a^2 + 36a}{-9a }= \frac{27a^3 }{-9a }+ \frac{ - 18a^2 }{-9a }+ \frac{ 36a}{-9a }\\
=-3a^2+2a-4.
$$
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: 40
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