4-12z+9z^2 factorization
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0
9
z
2
−
12
z
+
4
We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like
a
z
2
+
b
z
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
9
⋅
4
=
36
and
N
1
+
N
2
=
b
=
−
12
After trying out a few numbers we get
N
1
=
−
6
and
N
2
=
−
6
−
6
⋅
(
−
6
)
=
36
, and
(
−
6
)
+
(
−
6
)
=
−
12
9
z
2
−
12
z
+
4
=
9
z
2
−
6
z
−
6
z
+
4
=
3
z
(
3
z
−
2
)
−
2
(
3
z
−
2
)
=
(
3
z
−
2
)
(
3
z
−
2
)
note : We know that
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
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