Write as a Set of Linear Factors f(x)=5x^3-x^2-65x+13

$f (x) = 5 x^{3} - x^{2} - 65 x + 13$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$f (x) = (5 x^{3} - x^{2}) - 65 x + 13$

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

$f (x) = x^{2} (5 x - 1) - 13 (5 x - 1)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 x - 1$ .

$f (x) = (5 x - 1) (x^{2} - 13)$