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SMT 2010 Algebra #8

Source:

February 11, 2012
algebrapolynomialfunctionAMCAIMEbinomial theorem

Problem Statement

Let P(x)P(x) be a polynomial of degree nn such that P(x)=3kP(x)=3^k for 0≤k≤n0\le k \le n. Find P(n+1)P(n+1)
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