## Intermediate Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set: 38

#### Answer

$3x^2(x+15)(x+3)$

#### Work Step by Step

All terms are divisible by $3x^2$, so factor out $3x^2$ to obtain: $=3x^2(x^2+18x+45)$ Factor the trinomial. Look for factors of $45$ whose sum is $18$. These factors are $15$ and $3$. This means that the trinomial can be factored as $(x+15)(x+3)$. Thus, the completely factored form of the given polynomial is: $=3x^2(x+15)(x+3)$

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