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 A41: 130


$3x^2(3x + 4)(5x+4)$

Work Step by Step

We factor out $x^2(3x + 4)$ and distribute, combine like terms, and simplify as follows: \begin{align*} 3x^2(3x + 4)^2& + x^3 \cdot 2(3x + 4) \cdot 3\\ &=x^2(3x + 4)[3(3x+4)+6x]\\ &=x^2(3x + 4)[9x+12+6x]\\ &=x^2(3x + 4)(15x+12)\\ &=3x^2(3x + 4)(5x+4). \end{align*}
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