More Complex Zeros

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find a polynomial P of x of degree 4 that has integer coefficients and zeros 1, -1, and 2i
Find a polynomial P of x of degree 3 that has integer coefficients and zeros 2 and 1 + i
Find a polynomial P of x of degree 3 that has integer coefficients and zeros 1 half and 1 + i