Factor F(x) into Linear Factors Given That K Is a Zero

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 25 x + 100 ; k = 5$$

A) $( x - 5 ) ( x + 4 ) ( x + 5 )$
B) $x ( x - 5 ) ( x - 4 )$
C) $( x - 5 ) ( x - 4 ) ( x + 5 )$
D) $( x - 5 ) ( x - 4 ) ( x + 4 )$