Provide the requested response.
-Suppose that a polynomial function of degree 5 with rational coefficients has $- 5,4 , - 3,5 - i$ as zeros. Find the other zero(s).
A) $5 + i$
B) $- 5 - \mathrm { i }$
C) $5 , - 4,3,5 + \mathrm { i }$
D) $- 5 + \mathrm { i }$

Question

Quizplus · Accepted Answer

If a polynomial has rational coefficients, then any complex zeros must come in conjugate pairs. Since $5 - i$ is a zero, its conjugate $5 + i$ must also be a zero.

Provide the Requested Response −5,4,−3,5−i- 5,4 , - 3,5 - i−5,4,−3,5−i

Provide the Requested Response $- 5,4 , - 3,5 - i$