Factorise: 5 x2 + 20x+ 3
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Answer:Answer:
(
5
x
+
1
)
(
x
+
3
)
is the factorised form of the expression.
Explanation:
5
x
2
+
16
x
+
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
=
5
⋅
3
=
15
AND
N
1
+
N
2
=
b
=
16
After trying out a few numbers we get
N
1
=
15
and
N
2
=
1
15
⋅
1
=
15
, and
15
+
1
=
16
5
x
2
+
16
x
+
3
=
5
x
2
+
15
x
+
1
x
+
3
=
5
x
(
x
+
3
)
+
1
(
x
+
3
)
(
x
+
3
)
is a common factor to each of the terms
(
5
x
+
1
)
(
x
+
3
)
is the factorised form of the expression.
Step-by-step explanation:
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