Let F be a field and let p(x) be irreducible over F. Show
Chapter 17, Problem 33E(choose chapter or problem)
Let F be a field and let p(x) be irreducible over F. Show that \(\{a+ \langle p(x)\rangle \mid a \in F\}\) is a subfield of \(F[x] /\langle p(x)\rangle\) isomorphic to F. (This exercise is referred to in Chapter 20.)
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