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. $\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )$

A) $Q : x ^ { 2 } + 2 x - 6$
$\mathrm { R } : 0$
B) $\begin{array} { l } \text { Q: } x ^ { 2 } - 2 x + 6 \\\text { R: } - 1\end{array}$
C) $\mathrm { Q } : x ^ { 2 } - 2 x + 6$
$\mathrm { R } : 0$
D) $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 0$
E) $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 1$