Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = - 9 x ^ { 4 } + 2 x ^ { 3 } + 8 x + 1 ; [ 1,2 ]$$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = - 9 x ^ { 4 } + 2 x ^ { 3 } + 8 x + 1 ; [ 1,2 ]$$

A) $f ( 1 ) = 2$ and $f ( 2 ) = - 111$ ; yes
B) $f ( 1 ) = 2$ and $f ( 2 ) = 111$ ; no
C) $f ( 1 ) = - 2$ and $f ( 2 ) = 111$ ; yes
D) $f ( 1 ) = - 2$ and $f ( 2 ) = - 111$ ; no