SOLUTION: I need help with this question... form a polynomial f(x)with real coefficients having the given degrees and zeros. Degree: 4 Zero's: -4+3i; -5 multiplicity 2

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Question 763270: I need help with this question... form a polynomial f(x)with real coefficients having the given degrees and zeros.
Degree: 4 Zero's: -4+3i; -5 multiplicity 2

Answer by tommyt3rd(5050) About Me  (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...


f%28x%29=%28x-%28-4%2B3i%29%29%28x-%28-4-3i%29%29%28x-%28-5%29%29%5E2
and after multiplying ( it's tedious but not hard) we get
f%28x%29+=+x%5E4%2B18x%5E3%2B130x%5E2%2B450x%2B625