Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.1 - The Greatest Common Factor - Practice - Page 418: 13

Answer

$ (3x+4y)(x+1)$

Work Step by Step

$3x^2 + 4xy +3x + 4y = x(3x+4y) + 1 (3x+4y)$ The binomial $(3x+4y)$ is present in both terms and is the greatest common factor. We use the distributive property to factor out $(3x+4y)$ $3x^2 + 4xy +3x + 4y = x(3x+4y) + 1 (3x+4y)= (3x+4y)(x+1)$
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