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: 38

Answer

$(m-12)(m-6)$

Work Step by Step

$m^2-18m+72$ has no common monomial factor $=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=(m\ \ \ \ \ \ )(m\ \ \ \ \ \ )$ $=(m-\ )(m-\ )$ The 2nd coefficient is negative and the 3rd is positive, so the factors of 72 are both negative. $=(m-12)(m-6)$ -12 and -6 have a sum of -18 and a product of 72.
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