Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 4 ; \quad k = 2$$

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } - 5 x + 4 ; \quad k = 2$$

A) $f ( x ) = ( x + 2 ) \left( 2 x ^ { 2 } + x + 3 \right) + 10$
B) $f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } + x - 3 \right) - 2$
C) $f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } + 7 x + 9 \right) + 22$
D) $f ( x ) = ( x - 2 ) \left( 2 x ^ { 2 } - 7 x + 11 \right) + 18$