Degree 6; zeros: 2i, 4+i, i-1

Question

find the remaining zeros of a polynomial P(x) with real coefficients and with the specified degree and zeros

Answer 1

You will have a maximum of 6 different zeros.  You are give 3 complex zeros:

 

2i, 4 + i, and -1 + i

 

The complex conjugates are also zeros if the polynomial has real coefficients, so you will have 3 additional zeros:

 

-2i, 4 - i, and -1 - i

Answer 2

Other zeros: -2i, -4 - i, and 1 - i. You should learn that complex zeros come in pairs!