Answer
$(3x-2)(x^2-2)$
Work Step by Step
Regroup to obtain
$(3x^3-2x^2)+(-6x+4)$.
Factor out $x^2$ in the first group and $-2$ in the second:
$x^2(3x-2)+(-2)(3x-2)
\\=x^2(3x-2)-2(3x-2).$
Factor out $(3x-2)$ to obtain
$(3x-2)(x^2-2)$.