Write as a Set of Linear Factors f(x)=x^3+5x^2-3x-15

$f (x) = x^{3} + 5 x^{2} - 3 x - 15$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$f (x) = (x^{3} + 5 x^{2}) - 3 x - 15$

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

$f (x) = x^{2} (x + 5) - 3 (x + 5)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 5$ .

$f (x) = (x + 5) (x^{2} - 3)$