Factor by Grouping x^3+4x^2+x+4

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

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

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