Answer
$(2x+3)^2$
Work Step by Step
The polynomial $4x^2+12x+9$ is of the form $a^2+2ab+b^2$, which is a complete square. That is, we have
$$
4x^2+12x+9=(2x+3)^2
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 93
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