Answer
$6x^2(x^2-3x+2)$
Work Step by Step
The greatest common factor of $6, 18,$ and $12$ is $6$.
The greatest common factor of $x^4, x^3,$ and $x^2$ is $x^2$.
Thus, the greatest common factor of the binomial is $6x^2$.
Factor out $6x^2$ to obtain $6x^2(x^2-3x+2).$