Question: Let F be a field, and let f(x) = ax 2 + bx + c be in F[x], where a 0. Show that if

Let F be a field, and let f(x) = ax² + bx + c be in F[x], where a ≠ 0. Show that if the characteristic of F is not 2, the splitting field of f (x) over F is

F(b - 4ac)

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