Show that if E is an algebraic extension of a field F and contains all zeros in
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Show that if E is an algebraic extension of a field F and contains all zeros in F̅ of every f(x) ∈ F[x]. then E is an algebraically closed field.
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Let E and let px irr F have degree n Now px factors into x 1 x 2 x n in Fx Because by ...View the full answer
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