Factor 3x^3+9x^2+x+3

$3 x^{3} + 9 x^{2} + x + 3$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} + 9 x^{2}) + x + 3$

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

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

Step 2

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

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