Factor by Grouping 8x^3-64x^2+x-8

$8 x^{3} - 64 x^{2} + x - 8$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{3} - 64 x^{2}) + x - 8$

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

$8 x^{2} (x - 8) + 1 (x - 8)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x - 8$ .

$(x - 8) (8 x^{2} + 1)$