SOLUTION: Find a polynomial function f(x) of least degree having only real coefficients and zeros of f are 2+i and -3 with multiplicity 2

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Question 1087528: Find a polynomial function f(x) of least degree having only real coefficients and zeros of f are 2+i and -3 with multiplicity 2
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.
This polynomial is (for example)


f(x) = %28x-%282%2Bi%29%29%2A%28x-%282-i%29%29%2A%28x%2B3%29%5E2 = 


    = %28%28x-2%29-i%29%2A%28%28x-2%29%2Bi%29%2A%28x%2B3%29%5E2 = 

    
    = %28%28x-2%29%5E2%2B1%29%2A%28x%2B3%29%5E2.


You may transform it further if you need (and/or if you want).