Let F be a field, and let f(x) = ax 2 + bx + c be in
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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
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F(√b² - 4ac)
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