Use the given zero to find the remaining zeros of the function.
-$$f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 19 x + 13 ; \text { zero: } - 3 + 2 i$$
A) $- 3 - 2 \mathrm { i } , 1$
B) $- 3 - 2 i , - 1$
C) $2 - 3 \mathrm { i } , - 1$
D) $2 - 3 i , 1$

Question

Quizplus · Accepted Answer

Since the coefficients of the polynomial are real, complex zeros occur in conjugate pairs. Thus, $-3 - 2i$ is also a zero. Using synthetic division or polynomial division, the remaining zero is found to be $-1$.

Use the Given Zero to Find the Remaining Zeros of the Function