Simplify the expression. $\frac { - x ^ { 2 } + 1 } { x ^ { 3 } - x - 1 }$
A) $\frac { - x + 1 } { x ^ { 2 } - x - 1 }$
B) $\frac { - 1 + x } { - x ^ { 2 } - x + 1 }$
C) $\frac { x - 1 } { x ^ { 2 } + 2 x + 1 }$
D) $\frac { x + 1 } { x ^ { 2 } + x + 1 }$
E) $\frac { x + 1 } { x ^ { 2 } - x - 1 }$

Question

Quizplus · Accepted Answer

The expression can be simplified by factoring the numerator and denominator. The numerator is already in its simplest form, but the denominator can be factored by polynomial division or by finding roots. The correct simplification results in $\frac { - x + 1 } { x ^ { 2 } - x - 1 }$, which matches option A.

Simplify the Expression −x2+1x3−x−1\frac { - x ^ { 2 } + 1 } { x ^ { 3 } - x - 1 }x3−x−1−x2+1​

Simplify the Expression $\frac { - x ^ { 2 } + 1 } { x ^ { 3 } - x - 1 }$