Write as a Set of Linear Factors f(x)=x^3+3x^2-11x-33

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

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 3$ .

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