Use Synthetic Division to Determine the Quotient and Remainder for the Division

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 3 } - 5 x ^ { 2 } - 7 x + 9 \right) \div ( x - 2 )$

A) $\begin{array} { l } \text { Q: } 2 x ^ { 2 } - x - 9 \\\text { R: } - 9\end{array}$
B) Q: $2 x ^ { 2 } - x + 9$
$\mathrm { R } : 0$
C) $Q : 2 x ^ { 2 } + x - 9$
$\mathrm { R } : 0$
D) $\begin{array} { l } \text { Q: } 2 x ^ { 2 } + x - 9 \\\text { R: } - 9\end{array}$
E) $Q : 2 x ^ { 2 } + x - 9$
R: 9