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

question 201

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically. $\frac { 3 x ^ { 2 } - 3 x - 2 } { x ^ { 3 } - x }$

• A) \(\frac { 2 } { x } + \frac { 2 } { x + 1 } - \frac { 1 } { x + 1 }\)
• B) \(\frac { 2 } { x } + \frac { 2 } { x + 1 } - \frac { 1 } { x - 1 }\)
• C) \(\frac { 2 } { x } - \frac { 2 } { x + 1 } - \frac { 1 } { x - 1 }\)
• D) \(\frac { 2 } { x } + \frac { 2 } { x + 1 } + \frac { 1 } { x - 1 }\)
• E) \(\frac { 2 } { x } + \frac { 2 } { x - 1 } - \frac { 1 } { x - 1 }\)

---

Definitions:

React

pertains to an individual's immediate response or reaction to a stimulus or situation, often without extensive analysis.

Implications

The possible outcomes or effects that may result from a particular action, decision, or circumstance, often considered in planning or analysis.

Transactional Leaders

Leaders who focus on the role of supervision, organization, and group performance, often emphasizing the exchange between leader and followers.

Institutionalization

The process by which practices and activities become established norms or standards within an organization or society.