SOLUTION: suppose that a polynomial function of degree 5 with rational coefficients has 3, sq root of 7, 4-2i as zeroes. find the other zeros

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Question 79799: suppose that a polynomial function of degree 5 with rational coefficients has 3, sq root of 7, 4-2i as zeroes. find the other zeros
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial functions with rational coefficients always have irrational and complex zeros in conjugate pairs. That is a fancy way of saying that if you have a zero of sqrt%287%29,then you also have a zero at -sqrt%287%29. If you have a zero at 4-2i, then you also have a zero at 4%2B2i.

R^2 at SCC