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[SPAM] [obm-l] Problema com polinômios
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- Subject: [SPAM] [obm-l] Problema com polinômios
- From: "Igor Battazza" <battazza@xxxxxxxxx>
- Date: Sat, 12 Jan 2008 15:28:27 -0200
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Olá pessoal,
estou com dúvidas na seguinte questão:
Dado o polinômio p(x) = x^n + a_1*x^(n-1) + a_2*x^(n-2) + ... +
a_(n-1)*x + a_n com coeficientes inteiros a_1, a_2, ..., a_n, e dado
que também existem 4 inteiros distintos a, b, c e d tal que p(a) =
p(b) = p(c) = p(d) = 5, mostre que não existe inteiro k tal que p(k) =
8.
Não consigo pensar em nenhuma restrição que implique nisso.
Obrigado,
Igor.
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