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: 43



Work Step by Step

To factor a second-degree polynomial $x^2 + 7x + 10$, we have to find integers whose product is $10$ and whose sum is $7$. That is, we have $2$ and $5$ where $2+5=7$ and $2\times 5=10$. Thus: $$ x^2 + 7x + 10=(x+2)(x+5) .$$
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