SOLUTION: Directions: information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: -9, -5-i

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Question 1150007: Directions: information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 3; zeros: -9, -5-i
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The remaining zero is the complex number -5+i, conjugate to the given -5-i.

It is so, because every polynomial with real coefficients has the roots as conjugate complex numbers in pairs.