SOLUTION: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?

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Question 625010: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Complex zeros come in conjugate pairs. So 2i is paired with -2i.


This means that the zeros are 2, 31/2, 2i, -2i.


Since there are 4 zeros, this means that the lowest degree is 4.