Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.1 Quadratic Equations - 11.1 Exercise Set - Page 707: 88

Answer

$10a^{3}(a^{2}-a-6)$

Work Step by Step

$10a^{5}-10a^{4}-60a^{3}$ The prime factorization of $10a^{5}$ is $[2\cdot 5\cdot a\cdot a\cdot a]\cdot a\cdot a$ The prime factorization of $10a^{4}$ is $[2\cdot 5\cdot a\cdot a\cdot a]\cdot a$ The prime factorization of $60a^{3}$ is$ [2]\cdot 2\cdot 3\cdot[5\cdot a\cdot a\cdot a]$ The largest common factor is $2\cdot 5\cdot a\cdot a\cdot a=10a^{3}$ Factor out $10a^{3}$ from the given expression. $=10a^{3}(a^{2}-a-6)$
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