Write the Form of the Partial Fraction Decomposition of the Rational

question 255

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. $\frac { 5 x - 1 } { x ^ { 2 } ( x - 7 ) }$

• A) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x - 7 }\)
• B) \(\frac { A } { x ^ { 2 } } + \frac { B } { x + 7 }\)
• C) \(\frac { A } { x ^ { 2 } } + \frac { B x + C } { x + 7 }\)
• D) \(\frac { A x + B } { x } + \frac { C x + D } { x + 7 }\)
• E) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { x - 7 }\)

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Definitions:

Psychic Abilities

Alleged capabilities beyond the normal human senses, including telepathy, clairvoyance, and precognition, not scientifically proven.

Properly Conducted Experiments

experiments designed, performed, and analyzed using systematic methods to ensure valid and reliable results.

Cause and Effect

Describes a relationship where one event (the cause) makes another event happen (the effect).

Correlation Coefficient

is a statistical measure that describes the extent to which two variables change together, but does not necessarily imply causation between them.