Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 4 ; k = - 2$$

Multiple Choice

Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form f(x) = (x - k) q(x) + r for
the given value of k.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 4 ; k = - 2$$

A) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 4$
B) $f ( x ) = ( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 16$
C) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } + x + 2 \right) + 8$
D) $f ( x ) = ( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 8$