Answer
$(x+4)(x^2+1)$
Work Step by Step
Regroup to obtain:
$=(x^3+4x^2)+(x+4)$
Factor out $x^2$ in the first group to obtain:
$=x^2(x+4)+(x+4)$
Factor out the greatest common factor $(x+4)$ to obtain:
$=(x+4)(x^2+1)$
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