Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 75 - 11 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

question 112

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 75 - 11 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }$$

• A) \(\frac { - 3 } { x } + \frac { 3 } { x - 5 } + \frac { 4 } { ( x - 5 ) ^ { 2 } }\)
• B) \(\frac { 3 } { x } + \frac { - 3 } { x - 5 } + \frac { 8 } { ( x - 5 ) ^ { 2 } }\)
• C) \(\frac { 3 } { x } + \frac { 4 } { x - 5 } + \frac { - 3 } { ( x - 5 ) ^ { 2 } }\)
• D) \(\frac { 3 } { x } + \frac { - 3 } { x - 5 } + \frac { 4 } { ( x - 5 ) ^ { 2 } }\)

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Definitions:

Precognition

The ability or claimed ability to see or know about events before they happen, often regarded as a psychic phenomenon.

Clairvoyance

The alleged skill of obtaining insights about a thing, individual, place, or physical occurrence without using the five common senses, instead relying on extrasensory perception.

Telepathy

The purported transmission of information from one person to another without using any known human sensory channels or physical interaction.

Context Effect

The influence of environmental factors on one’s perception, decision making, or cognition.