Factor 8x^3+4x^2+6x+3

$8 x^{3} + 4 x^{2} + 6 x + 3$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{3} + 4 x^{2}) + 6 x + 3$

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

$4 x^{2} (2 x + 1) + 3 (2 x + 1)$

Step 2

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

$(2 x + 1) (4 x^{2} + 3)$