find the factor of 3x² +7x+ 2x
Answers
Answered by
0
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
=
3
⋅
2
=
6
AND
N
1
+
N
2
=
b
=
7
After trying out a few numbers we get
N
1
=
6
and
N
2
=
1
6
⋅
1
=
6
, and
6
+
1
=
7
3
x
2
+
7
x
+
2
=
3
x
2
+
6
x
+
1
x
+
2
=
3
x
(
x
+
2
)
+
1
(
x
+
2
)
(
x
+
2
)
is a common factor to each of the terms
=
(
3
x
+
1
)
(
x
+
2
)
Answered by
0
Answer: 18x
Step-by-step explanation: (3x²)+7x+2x
(3x × 3x)+ 7x+ 2x
9x +7x +2x
= 18x
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