Factor 4n^3+3n^2+4n+3

$4 n^{3} + 3 n^{2} + 4 n + 3$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(4 n^{3} + 3 n^{2}) + 4 n + 3$

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $4 n + 3$ .

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