Question 222446
Remember, all complex zeros come in conjugate pairs. So there's another zero -2i as well (since -2i is the complex conjugate of 2i).


So there are 4 zeros: {{{2}}}, {{{sqrt(3)}}}, {{{2i}}}, and {{{-2i}}}


By the fundamental theorem of algebra, this means that there is a polynomial of degree 4 that has these 4 zeros. So this means that the smallest degree is 4.