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1979 IMO Shortlist
3
3
Part of
1979 IMO Shortlist
Problems
(1)
Find all polynomials f(x) such that f(x)f(2x^2)=f(2x^3 + x)
Source: IMO LongList 1979 - P10
9/15/2010
Find all polynomials
f
(
x
)
f(x)
f
(
x
)
with real coefficients for which
f
(
x
)
f
(
2
x
2
)
=
f
(
2
x
3
+
x
)
.
f(x)f(2x^2) = f(2x^3 + x).
f
(
x
)
f
(
2
x
2
)
=
f
(
2
x
3
+
x
)
.
algebra
polynomial
Vieta
functional equation
IMO Longlist