Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapters 1-7 Cumulative Review Problem Set - Page 324: 40



Work Step by Step

Since $2x$ is common to every term of the expression, we first factor out $2x$: =$2x^{3}-6x^{2}-108x$ =$2x(x^{2}-3x-54)$ Now, we find out that the equation in the parenthesis represents a trinomial which can be factorized by using the rules of factoring trinomials: =$2x(x^{2}-3x-54)$ =$2x(x^{2}+6x-9x-54)$ =$2x[x(x+6)-9(x+6)]$ =$2x[(x+6)(x-9)]$ =$2x(x+6)(x-9)$
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