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✓ Solved: Let E be the algebraic closure of F .Show that every polynomial in F[x] splits in E.
I learned in Galois Theory that any field can be algebraically closed, with the proof using Zorn's Lemma. Is the algebraic closure of a finite field recognizable in any sense, like the
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SOLVED: ALGEBRAICALLY CLOSED FIELDS AND ALGEBRAIC CLOSURE Definition 4.1: Let K be a field and K ∈ F be an extension of F. A polynomial p(x) = a₀ + a₠x + ... +
✓ Solved: Let E be the algebraic closure of F .Show that every polynomial in F[x] splits in E.
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