Factor 3x^3+x^2+27x+9

$3 x^{3} + x^{2} + 27 x + 9$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 x^{3} + x^{2}) + 27 x + 9$

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

$x^{2} (3 x + 1) + 9 (3 x + 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $3 x + 1$ .

$(3 x + 1) (x^{2} + 9)$