Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 9 x ^ { 2 } + 21 x + 11 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

question 26

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 9 x ^ { 2 } + 21 x + 11 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

• A) \(\frac { - 5 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { 1 } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { 5 } { x + 2 } + \frac { - 4 } { x + 1 } + \frac { - 1 } { ( x + 1 ) ^ { 2 } }\)
• C) \(\frac { - 1 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { - 5 } { ( x + 1 ) ^ { 2 } }\)
• D) \(\frac { 5 } { x + 2 } + \frac { 4 } { x + 1 } + \frac { - 1 } { ( x + 1 ) ^ { 2 } }\)

---

Definitions:

Dispositional Attribution

The tendency to attribute someone's behavior to their personality or character rather than to external factors.

Stanley Milgram's Obedience Research

A series of social psychology experiments conducted in the 1960s which measured the willingness of study participants to obey an authority figure who instructed them to perform acts conflicting with their personal conscience.

Ethical Dilemmas

Situations in which a choice must be made between two options, neither of which resolves the situation in an ethically acceptable manner.

Replication

The process of repeating a study to verify research findings.