Factor 2x^3-x^2+10x-5

$2 x^{3} - x^{2} + 10 x - 5$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 x^{3} - x^{2}) + 10 x - 5$

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

$x^{2} (2 x - 1) + 5 (2 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $2 x - 1$ .

$(2 x - 1) (x^{2} + 5)$