factorise x² - 10x +24
Answers
Answered by
10
Answer:
x2-6x-4x+24
x(x-6)-4(x-6)
(x-6)(x-4)
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Answered by
3
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
⋅
24
=
24
AND
N
1
+
N
2
=
b
=
−
10
After trying out a few numbers we get
N
1
=
−
6
and
N
2
=
−
4
−
6
⋅
−
4
=
24
, and
(
−
6
)
+
(
−
4
)
=
−
10
x
2
−
10
x
+
24
=
x
2
−
6
x
−
4
x
+
24
=
x
(
x
−
6
)
−
4
(
x
−
6
)
(
x
−
6
)
is a common factor to each of the terms
=
(
x
−
6
)
(
x
−
4
)
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