Answer
$$\pm8$$
Work Step by Step
Here, we see that the factors must multiply to get $7$ and add to get $b$. The only factors of 7 are $-1\ and\ -7$ and $1\ and\ 7$. Thus, the only values of b that work are:
$$-1-7=-8 \\ AND \\ 1+7=8$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 58
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