SOLUTION: form the polynomial degrees: 5 zeros: -8, -i; -6+i

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Question 1051162: form the polynomial
degrees: 5
zeros: -8, -i; -6+i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Although you didn't say, I assume you mean with real coefficients(?).
If so, then complex roots come in complex conjugate pairs,
f%28x%29=%28x%2B8%29%28x%2Bi%29%28x-i%29%28x-%28-6%2Bi%29%29%28x-%28-6-i%29%29
f%28x%29=%28x%2B8%29%28x%5E2%2B1%29%28x%5E2%2B12x%2B37%29
f%28x%29=x%5E5%2B20x%5E4%2B134x%5E3%2B316x%5E2%2B133x%2B296