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Ireland Contests
Ireland National Math Olympiad
1997 Irish Math Olympiad
3
polynomials
polynomials
Source: Ireland 1997
July 3, 2009
algebra
polynomial
algebra unsolved
Problem Statement
Find all polynomials
p
(
x
)
p(x)
p
(
x
)
satisfying the equation: (x\minus{}16)p(2x)\equal{}16(x\minus{}1)p(x) for all
x
x
x
.
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