Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = - 6 x ^ { 4 } - 3 x ^ { 2 } + 6 ; [ - 1,0 ]$$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = - 6 x ^ { 4 } - 3 x ^ { 2 } + 6 ; [ - 1,0 ]$$

A) $f ( - 1 ) = 3$ and $f ( 0 ) = 7$ ; no
B) $f ( - 1 ) = - 3$ and $f ( 0 ) = - 6$ ; no
C) $f ( - 1 ) = 3$ and $f ( 0 ) = - 6$ ; yes
D) $f ( - 1 ) = - 3$ and $f ( 0 ) = 6$ ; yes