Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = 5 x ^ { 5 } - 3 x ^ { 3 } + 8 x ^ { 2 } - 1 ; [ - 2 , - 1 ]$$

A) $f ( - 2 ) = 105$ and $f ( - 1 ) = - 5$ ; yes
B) $f ( - 2 ) = 105$ and $f ( - 1 ) = 5$ ; no
C) $f ( - 2 ) = - 105$ and $f ( - 1 ) = 5$ ; yes
D) $f ( - 2 ) = - 105$ and $f ( - 1 ) = - 5$ ; no