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: 139

Answer

$-1(x+5)(x-1)$

Work Step by Step

Factor out $-1$ to obtain: $=-1(x^2+4x-5)$ The leading coefficient of the trinomial is $1$. This means that the trinomial can be factored by looking for the factors of the constant term $(-5)$ whose sum is equal to the coefficient of the middle term. $(4)$. Note that: $-5 = 5(-1)$ and $5+(-1) = 4$ Thus, the factors we are looking for are $5$ and $-1$. This means that the factors of the trinomial are $x+5$ and $x-1$. Therefore, the completely factored form of the given polynomial is: $=-1(x+5)(x-1)$
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