Factor by Grouping 4x^3-x^2+20x-5

$4 x^{3} - x^{2} + 20 x - 5$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{3} - x^{2}) + 20 x - 5$

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

$x^{2} (4 x - 1) + 5 (4 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 x - 1$ .

$(4 x - 1) (x^{2} + 5)$