Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set: 34

Answer

$2x(x+2)(x+1)$

Work Step by Step

All terms are divisible by $2x$, so factor out $2x$ to obtain: $=2x(x^2+3x+2)$ Factor the trinomial. Look for factors of $2$ whose sum is $3$. These factors are $2$ and $1$. This means that the trinomial can be factored as $(x+2)(x+1)$. Thus, the completely factored form of the given polynomial is: $=2x(x+2)(x+1)$
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