SOLUTION: Write a polynomial function of degree 5 with zeros -1,2 and i. Justify your answer.

Question 1080085: Write a polynomial function of degree 5 with zeros -1,2 and i. Justify your answer.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm assuming you mean with real coefficients so the complex roots are in complex conjugate pairs.
However, that polynomial would only need 4 zeros to specify it so the fifth zero is arbitrary.
I will make it 4th degree and you can check your problem setup and repost if necessary.

So for example, I can add as a root,

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