Use Synthetic Division to Express $P ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 28 x + 63$

Multiple Choice

Use synthetic division to express $P ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 28 x + 63$ in the form (divisor) (quotient) + remainder for the divisor x + 5.

A) $( x + 5 ) \left( 2 x ^ { 2 } - 7 x + 28 \right) + 7$
B) $( x + 5 ) \left( 2 x ^ { 2 } - 7 x + 7 \right) + 28$
C) $( x - 5 ) \left( 2 x ^ { 2 } - 7 x + 7 \right) - 28$
D) $( x + 5 ) \left( 28 x ^ { 2 } - x + 7 \right) + 28$
E) none of these