Factor completely 3x^2 - x - 4.

(x + 1) (3 x - 4)

Step-by-step explanation:

3x^2 - x - 4

Factor - 1 out of - x.

3 x^2 - (x) - 4

Rewrite - 1 as 3 plus - 4

3 x^2 + (3 - 4) x - 4

Apply the distributive property.

3 x^2 + 3 x - 4 x - 4

Group the first two terms and the last two terms.

(3 x 2 + 3 x) - 4 x - 4

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

3 x (x + 1) - 4 (x + 1)

Factor the polynomial by factoring out the greatest common factor, x + 1.

(x + 1) (3 x - 4)

(x+1) x (3x-4) is the answer