SOLUTION: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 5i as zeros. Find the other zero.

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Question 141516: Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 5i as zeros. Find the other zero.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, all complex zeros come in conjugate pairs. So this means that the zero 5i (which is complex) will be paired with -5i (which is the complex conjugate of 5i)


So the four zeros are
6, 4, 5i, and -5i