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Unformatted text preview: p = { f ( x ) A [ x ]  f (0) m } . Show that p is a maximal ideal of A [ x ]. 3. Show that x 4 + 1 is reducible in Z /p [ x ] for all primes p . 4. Find deg F ( 2 + 3) when F = Q and also when F = Q ( 6). 1...
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 Summer '08
 JOSHUA
 Math, Algebra

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