Write as a Set of Linear Factors x^3+11x^2-3x-33

$x^{3} + 11 x^{2} - 3 x - 33$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x^{3} + 11 x^{2}) - 3 x - 33$

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

$x^{2} (x + 11) - 3 (x + 11)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 11$ .

$(x + 11) (x^{2} - 3)$