Answer:
( x + 1 ) ( 3 x − 4 )
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 )