Sam Walters ☕️ on X: "The field of real numbers is always infinite dimensional as a vector space over any proper subfield. This follows immediately from a theorem of E. Artin and
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✓ Solved: Let E be the algebraic closure of F .Show that every polynomial in F[x] splits in E.
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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 + ... +
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