Determine the X Values That Cause the Polynomial Function to Be

Multiple Choice

Determine the x values that cause the polynomial function to be (a) zero, (b) positive, and (c) negative.
- $$f ( x ) = ( x + 4 ) ^ { 3 } \left( 4 x ^ { 2 } + 5 \right) ( x - 4 ) ^ { 4 }$$

A) (a) $\{ - 4,4 \}$ , (b) $( - 4 , \infty )$ (c) $( - \infty , - 4 )$
B) (a) $\{ - 4,4 \}$ , (b) $( - 4,4 ) \cup ( 4 , \infty )$ (c) $( \infty , - 4 )$
C) (a) $\{ - 4,4 \}$ , (b) $( 4 , \infty )$ , (c) $( * , 4 )$
D) $( a ) \{ - 4,4 \}$ , (b) $( - 4,4 )$ , (c) $( - , - 4 ) \cup ( 4 , \infty )$