Use Synthetic Division to Express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$

Multiple Choice

Use synthetic division to express $P ( x ) = 3 x ^ { 3 } - 16 x ^ { 2 } - 7 x - 55$ in the form $($ divisor) $($ quotient $) +$ remainder for the divisor $x - 6$ .

A) $\quad ( x - 6 ) \left( 3 x ^ { 2 } + 5 \right) - 25$
B) $( x - 3 ) \left( 25 x ^ { 2 } + 2 x + 5 \right) - 25$
C) $( x - 6 ) \left( 3 x ^ { 2 } + 2 x + 5 \right) - 25$
D) $( x - 6 ) \left( 3 x ^ { 2 } + x + 5 \right)$
E) none of these