roots in Z/pZ hence reducible ?

From: "Fedor" <malabar_carotte@xxxxxxxxx>
Date: 28 Nov 2006 15:34:27 -0800

Hi all,

It is well known that if a polynomial (for example P(x)=X^4+1) is
reducible over Z/pZ for any p, that does not imply that P(x) is
reducible in Z[X]. But if one supposes that P has a root in every Z/pZ,
does it follow that P is reducible in Z[X] ??

regards,
Fedor

.

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Re: roots in Z/pZ hence reducible ?
... Pete Klimek wrote: ... But if one supposes that P has a root in every Z/pZ, ... root mod p for all primes p, ...
(sci.math)
Re: roots in Z/pZ hence reducible ?
... But if one supposes that P has a root in every Z/pZ, ... root mod p for all primes p, ... Pete K. ...
(sci.math)