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why polynomial g(x)=x 2 −x has exactly has two roots in any ring of the form Z p r

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Please read the FAQ: this sort of question is not appropriate for mathoverflow. Ask it at math.stackexchange.com instead. – felix Nov 14 2011 at 7:48

closed as too localized by Gjergji Zaimi, Martin Brandenburg, David Loeffler, Bruce Westbury, Torsten Ekedahl Nov 14 2011 at 9:01

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