College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5: 6

Answer

$6x^{2}(x^{2}-3x+2)$

Work Step by Step

We are given the expression $6x^{4}-18x^{3}+12x^{2}$. The greatest common factor of this expression is $6x^{2}$. We can use the distributive property to factor out the greatest common factor. $6x^{4}-18x^{3}+12x^{2}=6x^{2}\times(x^{2}-3x+2)=6x^{2}(x^{2}-3x+2)$
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