Use Synthetic Division to Express $P ( x ) = 5 x ^ { 3 } - 23 x ^ { 2 } - 9 x - 22$

Multiple Choice

Use synthetic division to express $P ( x ) = 5 x ^ { 3 } - 23 x ^ { 2 } - 9 x - 22$ in the form (divisor) (quotient) + remainder for the divisor $x - 5$ .

A) $( x - 5 ) \left( 17 x ^ { 2 } + 2 x + 1 \right) - 17$
B) $\quad ( x - 5 ) \left( 5 x ^ { 2 } + 1 \right) - 17$
C) $\quad ( x - 5 ) \left( 5 x ^ { 2 } + x + 1 \right)$
D) $( x - 5 ) \left( 5 x ^ { 2 } + 2 x + 1 \right) - 17$
E) none of these