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: 33

Answer

$3(x+3)(x-4)$

Work Step by Step

$3x^2-3x-36\longrightarrow$ 3 is a common factor $=3(x^2-x-12)$ $=3(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$ $=3(x\ \ \ \ \ \ )(x\ \ \ \ \ \ )$ $=3(x+\ )(x-\ )$ The factors of -12 must have unlike signs. $=3(x+3)(x-4)$ 3 and -4 have a sum of -1 and a product of -12.
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