Find a polynomial of degree 3 with real coefficients and the following zeros. 3, 1-i

Answer 1

The complex conjugate of a complex zero must also be a zero, so the 3 zeros are

3

1 - i

1 + i

f(x) = A(x - 3)[x - (1 - i)][x - (1 + i)],

where A is real and A ≠ 0. You can expand this to standard form if you wish.