Solving Polynomial Functions involving Complex Numbers

1. Find a polynomial function given zeros of -4, -2 and 4 + i.

2. Find a polynomial function given zeros of;

2 3, 1 3i

3. Given the polynomial function below has a zero of 2i, find the remaining zeros.

4( ) 16f x x

4. Given the polynomial function below has a zero of 3 - 2i, find the remaining zeros.

4 3 2( ) 9 21 21 130f x x x x x

5. Find the zeros for the following polynomial function. Both real AND complex. Leave in exact value.

3 2( ) 13 57 85f x x x x

6. Find the zeros for the following polynomial function. Both real AND complex. Leave in exact value.

4 2( ) 5 4f x x x