Answer
$(x-8)(x+7)$
Work Step by Step
Separate all the terms into two sets of parentheses. Then find the greatest common factor of each set to factor.
$x^2-8x+7x-56$
$=(x^2-8x)+(7x-56)$
$=x(x-8)+7(x-8)$
$=(x-8)(x+7)$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 3 - Exponents, Polynomials and Functions - 3.4 Factoring Polynomials - 3.4 Exercises - Page 270: 17
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