Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
-Degree 4 ; zeros: $5 - 5 \mathrm { i }$, $8 \mathrm { i }$
A) $5 + 5 \mathrm { i } , 8 - \mathrm { i }$
B) $- 5 - 5 \mathrm { i } , - 8 \mathrm { i }$
C) $5 + 5 i , - 8 i$
D) $- 5 + 5 \mathrm { i } , - 8 \mathrm { i }$

Question

Quizplus · Accepted Answer

Since the polynomial has real coefficients, the complex zeros must occur in conjugate pairs. Therefore, the conjugates $5 + 5i$ and $-8i$ are also zeros.

Information Is Given About a Polynomial F(x) Whose Coefficients Are 5−5i5 - 5 \mathrm { i }5−5i

Information Is Given About a Polynomial F(x) Whose Coefficients Are $5 - 5 \mathrm { i }$