SOLUTION: Find a polynomial equation with real coefficients that has the given roots -1,3-2i

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Question 855630: Find a polynomial equation with real coefficients that has the given roots -1,3-2i
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Degree is FOUR, because if one of the zeros is -2i, then 2i is also needed.

Factored form of the needed polynomial:
%28x%2B1%29%28x-3%29%28x%2B2i%29%28x-2i%29
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%28x%5E2-2x-3%29%28x%5E2-%282i%29%5E2%29
%28x%5E2-2x-3%29%28x%5E2%2B4%29
x%5E4-2x%5E3-3x%2B4x%5E2-8x-12
highlight%28x%5E4-2x%5E3%2B4x%5E2-11x-12%29