Express F(x) in the Form F(x) = (X - K)q(x) $$f ( x ) = 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x ; k = - 3$$

Multiple Choice

Express f(x) in the form f(x) = (x - k) q(x) + r for the given value of k.
- $$f ( x ) = 2 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 3 x ; k = - 3$$

A) $f ( x ) = ( x - 3 ) \left( 2 x ^ { 3 } - 5 x ^ { 2 } + 3 \right) + 9$
B) $f ( x ) = ( x + 3 ) \left( 2 x ^ { 3 } + 5 x ^ { 2 } + 3 \right) + 9$
C) $f ( x ) = ( x + 3 ) \left( 2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 \right) + 45$
D) $f ( x ) = ( x - 3 ) \left( 2 x ^ { 3 } - 7 x ^ { 2 } + 6 x - 15 \right) + 45$