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: 59

Answer

$(y-5)(y-7)$

Work Step by Step

$y^2-12y+35$ has no common monomial factors. =$(\ \ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ \ )$ =$(y\ \ \ \ \ \ \ )(y\ \ \ \ \ \ \ )$ =$(y-\ \ )(y-\ \ )$ Since the 2nd term is negative and the 3rd is positive, both factors of 35 must be negative. =$(y-5)(y-7)$ -5 and -7 have a sum of -12 and a product of 35.
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