Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; k = 3$$

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.
- $$f ( x ) = 3 x ^ { 4 } - 9 x ^ { 3 } + 2 x ^ { 2 } - 6 x ; k = 3$$

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