Final answer:
Given the zeros -4, 5, 4-5i, and -5i, the complete set of zeros for the degree 6 polynomial must also include the complex conjugates 4+5i and 5i. There might be a typo in the provided choices as none include the complete set.
Step-by-step explanation:
The question is asking to identify the additional complex zeros of a degree 6 polynomial given some of its zeros. We are given the zeros -4, 5, and 4 - 5i, and we need to find the complete set including the complex conjugates since complex zeros always come in conjugate pairs for polynomials with real coefficients. We know that if 4 - 5i is a zero, then its conjugate 4 + 5i must also be a zero. Since -5i is given as a zero, its conjugate is 5i. Therefore, putting all the zeros together, we have: -4, 5, 4 - 5i, 4 + 5i, -5i, and 5i. By inspection of the provided answer choices, we conclude that the question may have a typo, and none of the options correctly list all zeros due to the absence of 5i.