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

question 106

Multiple Choice

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) \(\frac { x + 1 } { x ^ { 2 } - x - 1 }\)

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Definitions:

Opaqueness

The quality of being impenetrable by light; not transparent or translucent.

Decant

To pour a liquid from one container into another, usually to separate a solid from a liquid or to allow sediment to stay behind.

Clarity

The quality of being coherent and intelligible, or clear in thought or expression.

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A bacterium that causes anthrax, a serious infectious disease in humans and animals.