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.
- $$f ( x ) = x ^ { 5 } + x ^ { 2 } + 1 ; x - 2$$

A) $( x - 2 ) \left( x ^ { 4 } + 2 x ^ { 3 } + 4 x ^ { 2 } + 9 x + 18 \right) + 37$
B) $( x - 2 ) \left( x ^ { 4 } + 3 \right) + 7$
C) $( x - 2 ) \left( x ^ { 4 } + 3 x ^ { 2 } \right) + 7$
D) $( x - 2 ) \left( x ^ { 4 } + 2 x ^ { 3 } + 5 x ^ { 2 } + 10 x + 20 \right) + 41$