Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 11 x + 52 ; \text { zero: } - 4$$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 11 x + 52 ; \text { zero: } - 4$$

A) $6 + 4 i , 6 - 4 i$
B) $1 + 2 \mathrm { i } , 1 - 2 \mathrm { i }$
C) $3 + 2 \mathrm { i } , 3 - 2 \mathrm { i }$
D) $1 + 2 \sqrt { 13 } i , 1 - 2 \sqrt { 13 } i$