Question 992993
.
Wrong.


Your polynomial should be with real coefficients.


Then, having the root -1+i, it must have the conjugated complex number -1-i as the other root.


So the roots must be 4, -1+i and -1-i.


Hence, the polynomial is (x-4)*(x-(-1+i))*(x-(-1-i)).


You can transform it further, if you want.