Write the Partial Fraction Decomposition of the Rational Expression $\frac { x + 5 } { x ^ { 3 } - 2 x ^ { 2 } + x }$

question 210

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { x + 5 } { x ^ { 3 } - 2 x ^ { 2 } + x }$

• A) \(\frac { 5 } { x } + \frac { - 5 } { x - 1 } + \frac { 11 } { ( x - 1 ) ^ { 2 } }\)
• B) \(\frac { 5 } { x } + \frac { - 5 } { x - 1 } + \frac { 6 } { ( x - 1 ) ^ { 2 } }\)
• C) \(\frac { - 5 } { x } + \frac { 5 } { x - 1 } + \frac { 6 } { ( x - 1 ) ^ { 2 } }\)
• D) \(\frac { 5 } { x } + \frac { 6 } { x - 1 } + \frac { - 5 } { ( x - 1 ) ^ { 2 } }\)

---

Definitions:

Role Conflict

Occurs when there are incompatible demands placed on an individual by two or more roles they are expected to perform, leading to stress and difficulty in fulfilling duties.

Involvement

This refers to the degree of engagement and participation an individual or group has within a task, project, or decision-making process.

Decision-Making

The cognitive process of selecting a course of action from multiple alternatives.

Taxonomies

Taxonomies are classification schemes that organize information, concepts, or objects into hierarchical categories or groups.