Answer:
(
x
-
1
)
(
3
x
−
4
)
Step-by-step 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
)
