Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 12 x ^ { 2 } + 162 x + 384 } { ( x + 8 ) ( x + 2 ) ( x + 11 ) }$$

question 16

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 12 x ^ { 2 } + 162 x + 384 } { ( x + 8 ) ( x + 2 ) ( x + 11 ) }$$

• A) \(\frac { 8 } { x + 8 } + \frac { 2 } { x + 2 } + \frac { 2 } { x + 11 }\)
• B) \(\frac { 8 } { x + 8 } + \frac { 2 } { x + 2 } - \frac { 2 } { x + 11 }\)
• C) \(- \frac { 8 } { x + 8 } - \frac { 2 } { x + 2 } - \frac { 2 } { x + 11 }\)
• D) \(- \frac { 8 } { x + 8 } + \frac { 2 } { x + 2 } + \frac { 2 } { x + 11 }\)

---

Definitions:

Attribution

Attribution involves the process of explaining the causes or reasons behind behaviors or events, including the inference of personal traits or external circumstances.

Attitude

A psychological tendency expressed by evaluating a particular entity with some degree of favor or disfavor.

Dispositional Attributions

The tendency to attribute an individual's behavior to internal factors, such as personality traits or disposition, rather than external situational influences.

Situational Attributions

The process of attributing behavior to external factors, including the situation or the environment in which the behavior occurs.