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Putnam
1960 Putnam
A5
Putnam 1960 A5
Putnam 1960 A5
Source: Putnam 1960
June 11, 2022
Putnam
algebra
polynomial
commutative
Problem Statement
Find all polynomials
f
(
x
)
f(x)
f
(
x
)
with real coefficients having the property
f
(
g
(
x
)
)
=
g
(
f
(
x
)
)
f(g(x))=g(f(x))
f
(
g
(
x
))
=
g
(
f
(
x
))
for every polynomial
g
(
x
)
g(x)
g
(
x
)
with real coefficients.
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