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: 11

Answer

$ (7x^2+3)(4x-1)$

Work Step by Step

$28x^3-7x^2 +12x-3= 7x^2(4x-1) + 3(4x-1)$ The binomial $(4x-1)$ is present in both terms and is the greatest common factor. We use the distributive property to factor out $(4x-1)$ $28x^3-7x^2 +12x-3= 7x^2(4x-1) + 3(4x-1) = (7x^2+3)(4x-1)$
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