Solve the Problem $f ( x ) = x ^ { 4 } + x ^ { 3 } - 6 x ^ { 2 } - x ^ { 2 } - x + 6$

Multiple Choice

Solve the problem.
-The graph of $f ( x ) = x ^ { 4 } + x ^ { 3 } - 6 x ^ { 2 } - x ^ { 2 } - x + 6$ is shown below. Use the graph to factor $f ( x )$ .

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