Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-1 Polynomial Functions - Practice and Problem-Solving Exercises: 70

Answer

$x^2+8x-20=(x+10)(x-2)$

Work Step by Step

The leading coefficient is 1. Thus, to factor the trinomial, just look for factors of $-20$ whose sum is equal to the coefficient of the middle term. Note that $-20=10(-2) \text{ and } 10+(-2)=8$. Therefore, the factored form of the trinomial is $(x+10)(x-2)$.
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