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: 9



Work Step by Step

We need to factor: $x^2+17x+72$ The first term in each binomial must be $x$, since $x^2$ has no coefficient. The operation in each binomial must be addition, since each term in the trinomial is positive. Since $9+8=17$ and $9×8=72$, the other two terms are $9$ and $8$. Thus, we have: $x^2+17x+72=(x+8)(x+9)$
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