Use the Intermediate Value Theorem to Determine Whether the Polynomial $f ( x ) = 3 x ^ { 4 } - 5 x ^ { 3 } + 25 x ^ { 2 } - 45 x - 18$

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $f ( x ) = 3 x ^ { 4 } - 5 x ^ { 3 } + 25 x ^ { 2 } - 45 x - 18$

A) $f ( x ) = ( 3 x + 1 ) ( x - 2 ) ( x + 3 ) ( x - 3 )$
B) $f ( x ) = ( 3 x + 1 ) ( x - 2 ) ( x + 3 i ) ( x - 3 i )$
C) $f ( x ) = ( 3 x - 1 ) ( x + 2 ) ( x + 3 i ) ( x - 3 i )$
D) $f ( x ) = ( 3 x - 1 ) ( x + 2 ) ( x + 3 ) ( x - 3 )$