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: 41

Answer

$(m-2)(m-20)$

Work Step by Step

$m^2-22m+40$ has no common monomial factor $=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=(m\ \ \ \ \ \ )(m\ \ \ \ \ \ )$ $=(m-\ )(m-\ )$ Since the 2nd term is negative and the 3rd positive, the two factors of 40 must both be negative. $=(m-2)(m-20)$ -2 and -20 have a sum of -22 and a product of 40.
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