p(x) = 6x² – 7x + 2
Answers
Answered by
3
Answer:
p(x) = 6x² – 7x + 2
= 6x² -(4x+3x) + 2
= 6x² - 4x - 3x + 2
= 2x(3x - 2) - 1(3x-2)
= (3x-2)(2x-1)
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Answered by
1
Step-by-step explanation:
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
=
6
⋅
2
=
12
AND
N
1
+
N
2
=
b
=
7
After trying out a few numbers we get
N
1
=
3
and
N
2
=
4
3
⋅
4
=
12
, and
3
+
4
=
7
6
x
2
+
7
x
+
2
=
6
x
2
+
3
x
+
4
x
+
2
=
3
x
(
2
x
+
1
)
+
2
(
2
x
+
1
)
2
x
+
1
is a common factor to each of the terms
=
(
2
x
+
1
)
(
3
x
+
2
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