factorise xsquare +11+30
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Step-by-step explanation:
Explanation:
x
2
+
11
x
+
30
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
=
1
⋅
30
=
30
AND
N
1
+
N
2
=
b
=
11
After trying out a few numbers we get
N
1
=
5
and
N
2
=
6
5
⋅
6
=
30
, and
5
+
6
=
11
x
2
+
11
x
+
30
=
x
2
+
5
x
+
6
x
+
30
=
x
(
x
+
5
)
+
6
(
x
+
5
)
(
x
+
5
)
is a common factor to each of the terms
=
(
x
+
6
)
(
x
+
5
)
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