Question 1196595
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The problem's formulation in the post is incorrect.


A typical  (and a standard)  correct formulation would be as follows:


        Find a polynomial of the lowest degree with integer coefficients

        and the leading coefficient equal to 1,  if it has the roots  2,  1-i,  2-√3.



With this corrected formulation,  the  " solution "  by  @MathLover1  is  IRRELEVANT, 

and the solution by  @MathTherapy  is correct.



So,  first  FAULT  is due to the person who posted incorrect formulation.

Next fault is due to  @MathLover1.



"I sat on the bank of the river and waited for the right solution to come."