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

##### 1 Answer
Mar 14, 2017

GCF $= 3 x$

#### 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
$\textcolor{w h i t e}{\text{XXX}} 12 {x}^{3} + 6 x - 3 x$

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

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

$G C F = \textcolor{red}{3} \textcolor{b l u e}{x}$