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If P^n+Q^n+R^n = 0, prove that n < 3

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September 24, 2010
algebrapolynomialalgebra unsolved

Problem Statement

Let P,Q,RP,Q,R be the polynomials with real or complex coefficients such that at least one of them is not constant. If Pn+Qn+Rn=0P^n+Q^n+R^n = 0, prove that n<3.n < 3.
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