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Putnam
1971 Putnam
A2
Putnam 1971 A2
Putnam 1971 A2
Source:
April 6, 2022
college contests
Problem Statement
Determine all polynomials
P
(
x
)
P(x)
P
(
x
)
such that
P
(
x
2
+
1
)
=
(
P
(
x
)
)
2
+
1
P(x^2+1)=(P(x))^2+1
P
(
x
2
+
1
)
=
(
P
(
x
)
)
2
+
1
and
P
(
0
)
=
0.
P(0)=0.
P
(
0
)
=
0.
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