Answer:
letter D
Explanation:
2
x
2
−
5
x
−
12
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
2
⋅
−
12
=
−
24
and,
N
1
+
N
2
=
b
=
−
5
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
3
3
⋅
(
−
8
)
=
−
24
, and
3
+
(
−
8
)
=
−
5
2
x
2
−
5
x
−
12
=
2
x
2
−
8
x
+
3
x
−
12
=
2
x
(
x
−
4
)
+
3
(
x
−
4
)
(
x
−
4
)
is a common factor to each of the terms
=
(
2
x
+
3
)
(
x
−
4
)