Find the Requested Function $- 4 , - 1,0$ , And $\frac { 3 } { 4 }$

Multiple Choice

Find the requested function.
-Find the polynomial function with leading coefficient 4 ; degree 4 ; and $- 4 , - 1,0$ , and $\frac { 3 } { 4 }$ as zeros.

A) $f ( x ) = 4 x ^ { 4 } - 17 x ^ { 3 } + 5 x ^ { 2 } + 15 x$
B) $f ( x ) = 4 x ^ { 4 } + 11 x ^ { 3 } - 8 x ^ { 2 } - 16 x$
C) $f ( x ) = 4 x ^ { 4 } - 17 x ^ { 3 } + x ^ { 2 } - 12$
D) $f ( x ) = 4 x ^ { 4 } + 17 x ^ { 3 } + x ^ { 2 } - 12 x$