Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 103

Answer

$(4x+3)^2$

Work Step by Step

The polynomial $16x^2 + 24x + 9$ is of the form $a^2+2ab+b^2=(a+b)^2$. Thus it is a complete square and we have $$ 16x^2 + 24x + 9=(4x+3)^2 .$$
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