Write the Partial Fraction Decomposition of the Rational Expression $\frac { 7 x ^ { 2 } - x - 20 } { x ^ { 3 } - x }$

question 40

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 7 x ^ { 2 } - x - 20 } { x ^ { 3 } - x }$

• A) \(\frac { 20 } { x } + \frac { - 6 } { x + 1 } + \frac { 7 } { x - 1 }\)
• B) \(\frac { 20 } { x } + \frac { 6 } { x + 1 } + \frac { - 7 } { x - 1 }\)
• C) \(\frac { 20 } { x } + \frac { - 6 } { x + 1 } + \frac { - 7 } { x - 1 }\)
• D) \(\frac { 20 } { x } + \frac { - 7 } { x + 1 } + \frac { 6 } { x - 1 }\)

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Definitions:

Relative Deprivation Theory

A sociological theory that holds individuals who perceive themselves as having less resources than others will feel deprived and might seek to change this through action.

Social Rewards

Benefits or positive outcomes that individuals receive from their social environment or community, including acceptance, support, and recognition.

Frame Alignment Theory

A sociological theory that explores how social movement organizations align their activities and ideologies with the worldviews of potential supporters to increase participation.

Relative Deprivation Theory

A theory that suggests frustration or discontent arises from the perception that one is worse off compared to others in a similar position or compared to societal expectations.