Use Synthetic Division to Find the Quotient and Remainder $$\left( x ^ { 3 } - 1 \right) \div ( x - 1 )$$

Multiple Choice

Use synthetic division to find the quotient and remainder.
- $$\left( x ^ { 3 } - 1 \right) \div ( x - 1 )$$

A) $x ^ { 3 } + x ^ { 2 } + x + 1$
B) $x ^ { 3 } + x ^ { 2 } + x + 1 + \frac { 1 } { x - 1 }$
C) $x ^ { 2 } + x + 1$
D) $x ^ { 2 } + x + 1 + \frac { 1 } { x - 1 }$