Factor 2x^3-12x^2+5x-30

$2 x^{3} - 12 x^{2} + 5 x - 30$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} - 12 x^{2}) + 5 x - 30$

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

$2 x^{2} (x - 6) + 5 (x - 6)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 6$ .

$(x - 6) (2 x^{2} + 5)$