SOLUTION: A polynomial function f((x) of degree 4 with real coefficients has zeros of 3 and 5-i. Explain why one of the remaining zeros must be a real number.

Question 1037884: A polynomial function f((x) of degree 4 with real coefficients has zeros of 3 and 5-i. Explain why one of the remaining zeros must be a real number.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A polynomial function f((x) of degree 4 with real coefficients has zeros of 3 and 5-i. Explain why one of the remaining zeros must be a real number.
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Complex zeroes occur in pairs --> 5+i is a zero.
That's 3.
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A 4th complex zero would mean its conjugate would make 5 zeroes.
--> has to be real.
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