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Problem
Problem
A polynomial of 6th degree
f
(
x
)
f(x)
f
(
x
)
satisfies
f
(
x
)
=
f
(
2
−
x
)
,
∀
x
∈
R
f(x) = f(2-x), \forall x \in R
f
(
x
)
=
f
(
2
−
x
)
,
∀
x
∈
R
, if
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
has 4 distinct and 2 equal roots, then sum of the roots of
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
is a. 4 b. 5 c. 6 d. 7
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