Answer
$4x^2(x^2+2x+3)$
Work Step by Step
By taking a common factor, we have
$$
4x^4 + 8x^3 + 12x^2=4x^2(x^2+2x+3)
.$$
The binomial $x^2+2x+3$ can not be factored since there are no real numbers such that the product is 3 and the sum is 2.
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 10 - Section 10.1 - Finding Monomial Factors - Exercise - Page 345: 17
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