Factor 20x^3+12x^2+5x+3

$20 x^{3} + 12 x^{2} + 5 x + 3$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(20 x^{3} + 12 x^{2}) + 5 x + 3$

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

$4 x^{2} (5 x + 3) + 1 (5 x + 3)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 x + 3$ .

$(5 x + 3) (4 x^{2} + 1)$