SOLUTION: Find the polynomial with the lowest degree having the following zeros. 2, 2i

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Question 362459: Find the polynomial with the lowest degree having the following zeros.
2, 2i

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex solutions only come in complex conjugate pairs.
f%28x%29=%28x-2%29%28x-2i%29%28x%2B2i%29
f%28x%29=%28x-2%29%28x%5E2%2B4%29
highlight%28f%28x%29=x%5E3-2x%5E2%2B4x-8%29