Factor 2x^3-2x^2-x+1

$2 x^{3} - 2 x^{2} - x + 1$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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