[obm-l] Re: [obm-l] Re: [obm-l] Polinômio

["Ricardo" <ricardo_paixao_santos@xxxxxxxxxxxx>]

ops, P(-1)=1. => r(x)=x+2

----- Original Message -----

From: Ricardo

To: obm-l@mat.puc-rio.br

Sent: Thursday, December 21, 2006 1:05 AM

Subject: [obm-l] Re: [obm-l] Polinômio

o resto eh da forma ax+b ( pois o grau do resto tem que ser menor que o de x2-1)

assim, P(x)=(x+1)(x-1). Q(x) + r(x), r(x)=ax+b

Logo, P(1)=3=> a+b=3, P(-1)=3 => -a+b=3  => a=0 e b=3

Logo, o resto eh r(x)=3

Espero ter ajudado

Abracos

Ricardo

----- Original Message -----

From: Leandro Morelato

To: obm-l@mat.puc-rio.br

Sent: Wednesday, December 20, 2006 7:35 PM

Subject: [obm-l] Polinômio

Boa noite, gostaria que me ajudassem com a seguinte questão:

 

Determine o resto da divisão de X¹⁰⁰ + X + 1 por X² - 1,

 

Obrigado,

 

Leandro

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