How do you find the greatest common factor of #12x^3+6x^2-3x#?

1 Answer
Alan P.
Mar 14, 2017

GCF # = 3x#

Explanation:

Separate the constant and variable factors of each term;
find the greatest common factor for each set;
multiply the resulting common factors from each set to get the GCF of the original terms.

Given
#color(white)("XXX")12x^3+6x-3x#

#{: (((12),(6),(-3)),{:(),(xxcolor(red)3=),():},((4),(2),(-1))) :}#

#{: (((x^3),(x^2),(x)),{:(),(xxcolor(blue)x=),():},((x^2),(x),(1))) :}#

#GCF= color(red)3color(blue)x#

Related questions
See all questions in Monomial Factors of Polynomials
Impact of this question
5229 views around the world
You can reuse this answer
Creative Commons License