Answer
$-(x+5)(x-8)$
Work Step by Step
We start by factoring out -1. We have $-x^2+3x+40=-(x^2-3x-40)$
The factor pairs of -40 are
1 and -40, -1 and 40
2 and -20, -2 and 20
4 and -10, -4 and 10
5 and -8, -5 and 8
5 and -8 add up to -3
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 4 - Quadratic Functions and Equations - 4-4 Factoring Quadratic Expressions - Practice and Problem-Solving Exercises - Page 221: 28
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