Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 7 x ^ { 2 } - 94 x + 35 } { \left( x ^ { 2 } + 2 x - 7 \right) ( x - 7 ) }$$

question 266

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 7 x ^ { 2 } - 94 x + 35 } { \left( x ^ { 2 } + 2 x - 7 \right) ( x - 7 ) }$$

• A) \(\frac { 12 x } { x - 7 } + \frac { - 5 } { x ^ { 2 } + 2 x - 7 }\)
• B) \(\frac { 5 x } { x ^ { 2 } + 2 x - 7 } + \frac { - 12 } { x - 7 }\)
• C) \(\frac { 12 x } { x ^ { 2 } + 2 x - 7 } + \frac { 5 } { x - 7 }\)
• D) \(\frac { 12 x } { x ^ { 2 } + 2 x - 7 } + \frac { - 5 } { x - 7 }\)

---

Definitions:

Tobacco Smoker

An individual who inhales smoke from burning tobacco products, such as cigarettes, cigars, or pipes.

Pseudo-Insomnia

Is a condition where an individual feels like they have not slept well or enough, despite getting a normal amount of sleep.

Sleep Clinic

A specialized clinic that assesses, diagnoses, and treats sleep disorders, utilizing various tests to monitor sleep stages and disruptions.

Dopamine

A neurotransmitter in the brain that plays a key role in regulating mood and reward-motivated behavior.