Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 7 x ^ { 2 } + 32 x - 9 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

question 239

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 7 x ^ { 2 } + 32 x - 9 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

• A) \(\frac { 237 x - 108 } { 2 x ^ { 2 } + 1 } + \frac { - 135 } { x - 4 }\)
• B) \(\frac { 7 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { 7 } { x - 4 }\)
• C) \(\frac { 237 x + 108 } { 2 x ^ { 2 } + 1 } + \frac { - 135 } { x - 4 }\)
• D) \(\frac { 7 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { - 7 } { x - 4 }\)

---

Definitions:

Frustration-Aggression

A psychological theory proposing that frustration often leads to aggressive behavior, as aggression is seen as a way to release or address the frustration.

Pent-up Anger

Accumulated feelings of anger that have not been expressed and may result in emotional or physical tension.

Multiple Strategies

The use of various methods or approaches to achieve a goal, often employed in problem-solving and learning contexts.

Reduced Distress

The decrease in intensity of negative emotions or stress, leading to improved mental well-being.