Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = 3 x ^ { 3 } - x ^ { 2 } + 2 x + 4 ; k = - 1$$

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = 3 x ^ { 3 } - x ^ { 2 } + 2 x + 4 ; k = - 1$$

A) $f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 6$
B) $f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } - 4 x + 6 \right) - 2$
C) $f ( x ) = ( x - 1 ) \left( 3 x ^ { 2 } + 2 x \right) + 4$
D) $f ( x ) = ( x + 1 ) \left( 3 x ^ { 2 } + 2 x \right) + 4$