## College Algebra (6th Edition)

Published by Pearson

# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 74

#### Answer

6$x^{2}$ - 6$x$ - 12 = 6($x^{2}$ - $x$ - 2) = 6($x$ + 1)($x$ - 2)

#### Work Step by Step

To factor this polynomial, start by finding the GCF. After finding the GCF, factor the polynomial within the parentheses. Since the coefficient of the middle term in the parentheses is -1, determine two numbers that equal the last term of the polynomial (-2) when multiplied, and make sure both numbers also add up to -1. The resulting numbers are either added or subtracted from x in the new terms in the final answer in the last step.

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