Answer:
( x - 1 ) ( 3 x − 4 )
Explanation:
3 x 2 − 7 x + 4
For a polynomial of the form
a x 2 + b x + c
, rewrite the middle term as a sum of two terms whose product is
a ⋅ c = 3 ⋅ 4 = 12
and whose sum is
b = − 7 .
3 x 2 − 3 x − 4 x + 4
Factor out the greatest common factor 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 )