Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 5 x + 12$$

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 5 x + 12$$

A) $5,4 , - 1 ; f ( x ) = ( x - 5 ) ( x - 4 ) ( x + 1 )$
B) $4,3 , - 1 ; f ( x ) = ( x - 4 ) ( x - 3 ) ( x + 1 )$
C) $- 5 , - 4,1 ; f ( x ) = ( x + 5 ) ( x + 4 ) ( x - 1 )$
D) $- 4 , - 3,1 ; f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 1 )$

Correct Answer:

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