SOLUTION: Form a​ third-degree polynomial function with real coefficients such that negative 3 plus i−3+i and negative 3−3 are zeros.

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Question 1098781: Form a​ third-degree polynomial function with real coefficients such that negative 3 plus i−3+i and negative 3−3 are zeros.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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... such that negative 3 plus i−3+i and negative 3−3 are zeros.
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The zeros are -3+i and -3;
which means -3-i IS ALSO a zero.

The function:
%28x-%28-3%2Bi%29%29%28x-%28-3-i%29%29%28x%2B3%29
%28x%2B3-i%29%28x%2B3%2Bi%29%28x%2B3%29
%28%28x%2B3%29%5E2-i%5E2%29%28x%2B3%29
%28x%5E2%2B6x%2B9%2B1%29%28x%2B3%29
highlight%28%28x%2B3%29%28x%5E2%2B6x%2B10%29%29--------multiply further if you want.