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[obm-l] polinomios (2 de olimpiada)
- To: obm-l@xxxxxxxxxxxxxx
- Subject: [obm-l] polinomios (2 de olimpiada)
- From: Klaus Ferraz <klausferraz@xxxxxxxxxxxx>
- Date: Fri, 11 Nov 2005 19:27:01 +0000 (GMT)
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Determine todos os polinomios P(x) tais que P(x^2+1) = (P(x))^2+1 para todo x real.
Mostre que o polinomio 1+x + x^2/2! + x^3/3! +...+ x^n/n! nao possui raizes multiplas.
Agradeço a colaboracao do senhores.
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