x^2-x+1/4 factorization
Answers
Answered by
0
Step-by-step explanation:
x
2
+
x
+
1
4
Rewrite
1
as
1
2
.
x
2
+
x
+
1
2
4
Rewrite
4
as
2
2
.
x
2
+
x
+
1
2
2
2
Rewrite
1
2
2
2
as
(
1
2
)
2
.
x
2
+
x
+
(
1
2
)
2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
x
=
2
⋅
x
⋅
1
2
Rewrite the polynomial.
x
2
+
2
⋅
x
⋅
1
2
+
(
1
2
)
2
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
x
and
b
=
1
2
.
(
x
+
1
2
)
2
Answered by
1
Answer:
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@aditya
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