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.