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.
- $$f ( x ) = x ^ { 3 } - x ^ { 2 } + 3 ; x + 2$$

A) $( x + 2 ) \left( 3 x ^ { 2 } - 4 x + 2 \right) + 0$
B) $( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) + 2$
C) $( x + 2 ) \left( x ^ { 2 } + x + 2 \right) - 9$
D) $( x + 2 ) \left( x ^ { 2 } - 3 x + 6 \right) - 9$