Final answer:
The polynomial function with zeros 3 and 4 - 5i is (x-3)(x-4+5i), which simplifies to
Step-by-step explanation:
To find a polynomial function given its zeros, we can use the factor theorem. The factor theorem states that if a polynomial function f(x) has a zero x=a, then (x-a) is a factor of f(x).
So, the polynomial function with zeros 3 and 4 - 5i is (x-3)(x-(4-5i)). We can simplify this to (x-3)(x-4+5i).
Multiplying these factors, we get

Therefore, the correct answer is B.
