Use synthetic division to perform the division.
-$$\frac { x ^ { 3 } - 1 } { x - 1 }$$
A) $x ^ { 2 } + x + 1 + \frac { 1 } { x - 1 }$
B) $x ^ { 2 } + x + 1$
C) $x ^ { 3 } + x ^ { 2 } + x + 1 + \frac { 1 } { x - 1 }$
D) $x ^ { 3 } + x ^ { 2 } + x + 1$

Question

Quizplus · Accepted Answer

The division of $x^3 - 1$ by $x - 1$ using synthetic division results in $x^2 + x + 1$, as the remainder is 0.

Use Synthetic Division to Perform the Division x3−1x−1\frac { x ^ { 3 } - 1 } { x - 1 }x−1x3−1​

Use Synthetic Division to Perform the Division $\frac { x ^ { 3 } - 1 } { x - 1 }$