The polynomial x²-2x-8 write a factor of the given polynomial
Answers
Answered by
0
Answer:
Step-by-step explanation:
x
+
2
)
(
x
−
4
)
Explanation:
x
2
−
2
x
−
8
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
⋅
(
−
8
)
=
−
8
and
N
1
+
N
2
=
b
=
−
2
After trying out a few numbers we get
N
1
=
−
4
and
N
2
=
2
−
4
⋅
2
=
−
8
, and
2
+
(
−
4
)
=
−
2
x
2
−
2
x
−
8
=
x
2
−
4
x
+
2
x
−
8
=
x
(
x
−
4
)
+
2
(
x
−
4
)
=
(
x
+
2
)
(
x
−
4
Answered by
1
Answer:
x - 4 , x + 2
Step-by-step explanation:
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