Simplify the Rational Expression $\frac { x ^ { 4 } - 2 x ^ { 2 } - 48 } { 4 x ^ { 4 } + 29 x ^ { 2 } + 30 }$

question 59

Multiple Choice

Simplify the rational expression. $\frac { x ^ { 4 } - 2 x ^ { 2 } - 48 } { 4 x ^ { 4 } + 29 x ^ { 2 } + 30 }$

• A) \(\frac { x ^ { 2 } - 8 } { 4 x ^ { 2 } + 5 }\)
• B) \(\frac { x - 8 } { 4 x + 5 }\)
• C) \(\frac { x + 8 } { 4 x + 5 }\)
• D) \(\frac { x ^ { 2 } - 8 } { x ^ { 2 } + 5 }\)

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Definitions:

Expected Number

The calculated average or mean value of a numerical random variable, representing what one expects to happen over numerous trials.

Probability Distribution

A statistical function detailing all potential values and their probabilities for a random variable within a specific range.

Probability Distribution

A mathematical function which calculates the likelihood of various possible results in an experiment.

Blackjack

A casino card game where players try to achieve a hand value as close to 21 as possible without exceeding it.