Factor by Grouping 4x^3+x^2-8x-2

$4 x^{3} + x^{2} - 8 x - 2$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 x^{3} + x^{2}) - 8 x - 2$

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

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

Step 2

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

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