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: 15

Answer

$2(a-2)(a-7)$

Work Step by Step

Factor out the common factor of 2, then factor the resulting binomial. $2a^2-18a+28=2(a^2-9+14)$ The first term in each binomial must be a, since $a^2$ has no coefficient. The operation in each binomial must be subtraction, since the trinomial has a positive and a negative term. $-2+(-7)=-14$ and $-2\times(-7)=14$, so the other two terms are -2 and -7.
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