Factor 3x^3-x^2+12x-4

$3 x^{3} - x^{2} + 12 x - 4$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} - x^{2}) + 12 x - 4$

Factor out the greatest common factor (GCF) from each group.

$x^{2} (3 x - 1) + 4 (3 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x - 1$ .

$(3 x - 1) (x^{2} + 4)$