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PDF-SEPARABILITYKEITHCONRAD1.IntroductionLetKbea eld.Wearegoingtolookatcon PDF document

2andp 3arebothseparableoverQastheyhaveminimalpolynomialsX22andX23inQXwhicharebothseparableFromDe nition11checkingapolynomialisseparablerequiresbuildingasplitting eldtochecktherootsaredistinct

2andp 3arebothseparableoverQ astheyhaveminimalpolynomialsX22andX23inQ[X] whicharebothseparable.FromDe nition1.1 checkingapolynomialisseparablerequiresbuildingasplitting eldtochecktherootsaredistinct

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