Find all c Z 3 such that Z 3 [x]/(x 3 + cx 2 + 1)
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Find all c ∈ Z3 such that Z3[x]/(x3 + cx2 + 1) is a field.
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By Theorem 2725 we need only find all values c such that gx x 3 cx 2 1 is irreducible over Z 3 When ...View the full answer
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