Factor x^3+7x^2+x+7

$x^{3} + 7 x^{2} + x + 7$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 7 x^{2}) + x + 7$

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

$x^{2} (x + 7) + 1 (x + 7)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 7$ .

$(x + 7) (x^{2} + 1)$