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choice 4 of 7:the minimum number of roots for a non-constant polynomial of even degree over the reals is 0. choice 5 of 7:the minimum number of roots for a non-constant polynomial of even degree over \mathrm{gf}(p)gf(p) for any prime pp is 0. choice 6 of 7:the minimum number of roots for a non-constant polynomial of odd degree over the reals is 0. choice 7 of 7:the minimum number of roots for a non-constant polynomial of odd degree over \mathrm{gf}(p)gf(p) for any prime pp is 0.

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