Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.3 - Finding Binomial Factors - Exercise: 22

Answer

$4(x-1)(x-20)$

Work Step by Step

First factor out the 4, then factor the resulting trinomial. $4x^2-84x+80=4(x^2-21x+20)$ The first term in each binomial must be x, since $x^2$ has no coefficient. The operation in each binomial must be subtraction, since the trinomial has a positive and a negative term. $-1+(-20)=-21$ and $-1\times(-20)=20$, so the other two terms are -1 and -20.
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