factorizethe following
a)
x²-8x+7
Answers
Answered by
0
Answer:
Explanation:
x
2
−
8
x
+
7
We can Split the Middle Term of this expression to factorise it.
In this technique, since 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
⋅
7
=
7
AND
N
1
+
N
2
=
b
=
−
8
After trying out a few numbers we get
N
1
=
−
1
and
N
2
=
−
7
(
−
1
)
⋅
(
−
7
)
=
7
, and
−
1
+
(
−
7
)
=
−
8
x
2
−
8
x
+
7
=
x
2
−
1
x
−
7
x
+
7
=
x
(
x
−
1
)
−
7
(
x
−
1
)
(
x
−
1
)
is a common factor to each of the terms
(
x
−
1
)
(
x
−
7
)
is the factorised form.
Step-by-step explanation:
Answered by
2
(x-1)(x-7) is your correct answer...
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