Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
-Degree 6; zeros: $- 2,2 + i , - 1 - i , 0$
A) $2 - i , - 1 + i$
B) $2,2 - i , - 1 + i$
C) $- 2 + \mathrm { i } , 1 - \mathrm { i }$
D) $- 2 - i , 1 + i$

Question

Quizplus · Accepted Answer

Since the coefficients of the polynomial are real numbers, non-real zeros must occur in conjugate pairs. Given zeros include $2 + i$ and $-1 - i$, so their conjugates $2 - i$ and $-1 + i$ must also be zeros.

Information Is Given About a Polynomial F(x) Whose Coefficients Are −2,2+i,−1−i,0- 2,2 + i , - 1 - i , 0−2,2+i,−1−i,0

Information Is Given About a Polynomial F(x) Whose Coefficients Are $- 2,2 + i , - 1 - i , 0$