Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 73

Answer

$2(x-8)(x+7)$

Work Step by Step

Factor out $2$ to obtain: $=2(x^2-x-56)$ The leading coefficient of the trinomial is 1. Factor the trinomial by looking for the factors of the constant term $(-56)$ whose sum is equal to the coefficient of the middle term $(-1)$. Note that $-56=-8(7)$ and $-8+7 = -1$. Thus, the factors we are looking for are $-8$ and $7$. This means that the factors of the trinomial are: $x-8$ and $x+7$ Therefore the completely factored form of the given polynomial is: $=2(x-8)(x+7)$
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