1.) Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.

5 -i, root square 12.

f(x)= ?

2.) Suppose a polynomial function of degree 4 with rational coefficients has the following given numbers as zeros. Find the other zero(s).

i,2 - root square of 5.

The other zero(s) is/are ?

(exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)