SOLUTION: suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. i, 5- the square root of 11. what are the other zeros?

SOLUTION: suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. i, 5- the square root of 11. what are the other zeros?

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Question 1156667: suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. i, 5- the square root of 11. what are the other zeros?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
If i is a root, then -I is a root
if 5- sqrt(11) is a root, then 5 + sqrt(11) is a root.
Conjugate pairs are required.
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