Let be a zero of x 3 +x 2 + 1 overZ 2 . Show that
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Let α be a zero of x3 +x2 + 1 overZ2. Show that x3 +x2 + 1 splits in Z2(α).
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Theorem 333 shows that the only field of order 8 in Z 2 is the splitting field of x 8 x ...View the full answer
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