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: 40

Answer

$(x+14)(x-3)$

Work Step by Step

$x^2+11x-42$ has no common monomial factor $=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=(x\ \ \ \ \ \ )(x\ \ \ \ \ \ )$ $=(x+\ )(x-\ )$ The factors of -42 must have unlike signs. $=(x+14)(x-3)$ 14 and -3 have a sum of 11 and a product of -42.
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