SOLUTION: Find a polynomial function with the integer coefficients that has the given zeros: 1+(sqrt)3i, 2, 2, -1-(sqrt)2 Thank you

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Question 986624: Find a polynomial function with the integer coefficients that has the given zeros:
1+(sqrt)3i, 2, 2, -1-(sqrt)2
Thank you

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Since 2 is written twice, I assume you mean the polynomial is to have
2 twice as a zero, or of multiplicity 2.

Conjugates of surds and complex numbers are also zeros:

, , , , , 

, , , , , 



Multiply all that out.  Takes a long time:



So polynomial that has those zeros is



Edwin


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