Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
1 + i, 3

Step-by-step explanation:

If the polynomial has one root as 1 + i, it's conjugate 1 - i will also be its root.

Therefore, the polynomial has roots 1 + i, 1 - i, and 3.

So, the polynomial function of lowest degree with rational coefficients will be  

f (x) = (x - 3)(x - 1 - i)(x - 1 + i)  

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⇒ (Answer)