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Let f(x)f(x)f(x) be a quintic (5th5^\text{th} 5th degree) polynomial with f(n)=2nf(n)=2^nf(n)=2n for all integers 0≤n≤50\leq n\leq 50≤n≤5. Find f(11)f(11)f(11).
Inspiration.
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