Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 5 - Section 5.4 - A General Approach to Factoring - 5.4 Exercises - Page 348: 24


not factorable

Work Step by Step

$\bf{\text{Solution Outline:}}$ The given expression, $ 9r^2+100 ,$ is prime. $\bf{\text{Solution Details:}}$ A binomial can be factored if the $GCF$ between its terms is not $1$, or if it is a difference of $2$ squares, or if it is a sum/difference of $2$ cubes. The $GCF$ of the terms of the given binomial is $1.$ It is also not a differene of two squares because it uses a plus sign between its terms. It is also not a difference of $2$ cubes because its terms are not perfect cubes. Hence, the given expression is $\text{ not factorable .}$
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