Use Synthetic Division to Express $P ( x ) = 3 x ^ { 3 } - 10 x ^ { 2 } - 23 x - 35$

Multiple Choice

Use synthetic division to express $P ( x ) = 3 x ^ { 3 } - 10 x ^ { 2 } - 23 x - 35$ in the form (divisor) (quotient) + remainder for the divisor x - 5.
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A) $( x - 3 ) \left( 25 x ^ { 2 } + 5 x + 2 \right) - 25$
B) $( x - 5 ) \left( 3 x ^ { 2 } + 5 x + 2 \right) - 25$
C) $( x - 5 ) \left( 3 x ^ { 2 } + 2 \right) - 25$
D) $( x - 5 ) \left( 3 x ^ { 2 } + x + 2 \right)$
E) none of these