Use Synthetic Division to Divide F(x)by X - C, and Then

Multiple Choice

Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c) q(x) + r.
- $$f ( x ) = - 4 x ^ { 3 } - 18 x ^ { 2 } + 41 x + 30 ; x + 6$$

A) $( x + 6 ) \left( - \frac { 2 } { 3 } x ^ { 2 } - 3 x + \frac { 41 } { 6 } \right) + 0$
B) $( x + 6 ) \left( 4 x ^ { 2 } - 6 x + 5 \right) + 0$
C) $( x + 6 ) \left( - 4 x ^ { 2 } + 6 x + 5 \right) + 0$
D) $( x + 6 ) \left( - 4 x ^ { 2 } x - 3 + 5 \right) + 0$