Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 6 ; k = - 2$$

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 6 ; k = - 2$$

A) $f ( x ) = ( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 18$
B) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 6$
C) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } + x + 2 \right) + 10$
D) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 6$