SOLUTION: Form a polynomial f(x)with real coefficients having the given degree and zeros. Degree 5 and Zeros -1, -i,-4+i What is f(x)?

Question 764936: Form a polynomial f(x)with real coefficients having the given degree and zeros. Degree 5 and Zeros -1, -i,-4+i What is f(x)?
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
Since the coefficients are real, the complex zeros must occur in conjugate pairs, and the multiplicity of a zero tells how many times it occurs, so...

and after multiplying ( it's tedious but not hard) we get

:)
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