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Dutch IMO TST
2020 Dutch IMO TST
2
P (x^2) + 2P (x) = P (x)^2 + 2
P (x^2) + 2P (x) = P (x)^2 + 2
Source: 2020 Dutch IMO TST 1.2
November 21, 2020
algebra
polynomial
Problem Statement
Determine all polynomials
P
(
x
)
P (x)
P
(
x
)
with real coefficients that apply
P
(
x
2
)
+
2
P
(
x
)
=
P
(
x
)
2
+
2
P (x^2) + 2P (x) = P (x)^2 + 2
P
(
x
2
)
+
2
P
(
x
)
=
P
(
x
)
2
+
2
.
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