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 - Page 350: 29



Work Step by Step

We need to factor: $a^2+5a-24$ The first term in each binomial must be $a$, since $a^2$ has no coefficient. The operation in each binomial must be one subtraction and one addition since the second term in the trinomial is positive and the third term is negative. Since $-3+8=5$ and $(-3)(8)=-24$, the other two terms are $-3$ and $8$. Thus, we have: $a^2+5a-24=(a-3)(a+8)$
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