Use Synthetic Division to Divide F(x) by X - K $$f ( x ) = 2 x ^ { 5 } - x ^ { 4 } + 3 x ^ { 2 } - x + 5 ; \quad k = 1$$

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.
- $$f ( x ) = 2 x ^ { 5 } - x ^ { 4 } + 3 x ^ { 2 } - x + 5 ; \quad k = 1$$

A) $f ( x ) = ( x - 1 ) \left( 2 x ^ { 4 } + x ^ { 3 } + 4 x ^ { 2 } + 3 x \right) + 8$
B) $f ( x ) = ( x - 1 ) \left( 2 x ^ { 4 } - 3 x ^ { 3 } - x \right) + 6$
C) $f ( x ) = ( x - 1 ) \left( 2 x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + 4 x + 3 \right) + 8$
D) $f ( x ) = ( x - 1 ) \left( 2 x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + 2 x + 1 \right) + 6$