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) .
- $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 6 ; k = 1$$

A) $( x + 1 ) ( x + 2 ) ( 2 x - 3 )$
B) $( x - 1 ) ( x + 1 ) ( 2 x - 6 )$
C) $( x - 1 ) ( x + 2 ) ( 2 x - 3 )$
D) $( x - 1 ) ( x - 2 ) ( 2 x + 3 )$