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: 41

Answer

$(x+1)(x+6)$

Work Step by Step

To factor a second-degree polynomial $x^2 + 7x + 6$, we have to find integers whose product is $6$ and whose sum is $7$. That is, we have $1$ and $6$ where $1+6=7$ and $1\times 6=6$. Thus: $$ x^2 + 7x + 6=(x+1)(x+6) .$$
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