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Ireland Contests
Ireland National Math Olympiad
1994 Irish Math Olympiad
3
polynomials
polynomials
Source: Ireland 1994
June 29, 2009
algebra
polynomial
induction
algebra unsolved
Problem Statement
Find all real polynomials
f
(
x
)
f(x)
f
(
x
)
satisfying f(x^2)\equal{}f(x)f(x\minus{}1) for all
x
x
x
.
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