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. $\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )$

A) $Q : x ^ { 2 } - 2$
$\mathrm { R } : - 1$
B) $\mathrm { Q } : x ^ { 2 } - 2$
R: 0
C) $Q : x ^ { 2 } - 2$
$\mathrm { R } : 1$
D) $\mathrm { Q } : x ^ { 2 } + 2$
R: 0
E) $\mathrm { Q } : x ^ { 2 } + 2$
$\mathrm { R } : 1$