Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.5 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 296: 90

Answer

A

Work Step by Step

Find the GCF of $12x^{2}+9x+3$, which is $3$. Factor out 3 from each term of $12x^{2}+9x+3$. $12x^{2}+9x+3=3(4x^{2}+3x+1)$ Check your work by using the distributive property and distributing 3 to each term inside the parenthesis and see if the result is the original polynomial, $12x^{2}+9x+3$. $3(4x^{2}+3x+1)=12x^{2}+9x+3$ Therefore, the correct answer choice is A.
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