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: 124

Answer

$(2x+1)(30x-19)$

Work Step by Step

We factor out $2x+1$ and distribute, combine like terms, and simplify as follows: \begin{align*} 5(2x + 1)^2 &+ (5x - 6) \cdot 2(2x + 1) \cdot 2\\ &=(2x+1)[5(2x+1)+4(5x-6)]\\ &=(2x+1)[10x+5+20x-24]\\ &=(2x+1)(30x-19). \end{align*}
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