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Thailand TST Selection Test
2018 Thailand TSTST
1
(P(x)+1)^2=P(x^2+1)
(P(x)+1)^2=P(x^2+1)
Source: 2017 Thailand October Camp 2.1
February 25, 2022
polynomial
algebra
Problem Statement
Find all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coefficients satisfying:
P
(
2017
)
=
2016
P(2017) = 2016
P
(
2017
)
=
2016
and
(
P
(
x
)
+
1
)
2
=
P
(
x
2
+
1
)
.
(P(x)+1)^2=P(x^2+1).
(
P
(
x
)
+
1
)
2
=
P
(
x
2
+
1
)
.
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