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

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 3

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

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