Write the Partial Fraction Decomposition of the Rational Expression $\frac { 27 - 5 x } { x ( x - 3 ) ^ { 2 } }$

question 1

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { 27 - 5 x } { x ( x - 3 ) ^ { 2 } }$

• A) \(\frac { 3 } { x } + \frac { 4 } { x - 3 } + \frac { - 3 } { ( x - 3 ) ^ { 2 } }\)
• B) \(\frac { 3 } { x } + \frac { - 3 } { x - 3 } + \frac { 4 } { ( x - 3 ) ^ { 2 } }\)
• C) \(\frac { - 3 } { x } + \frac { 3 } { x - 3 } + \frac { 4 } { ( x - 3 ) ^ { 2 } }\)
• D) \(\frac { 3 } { x } + \frac { - 3 } { x - 3 } + \frac { 8 } { ( x - 3 ) ^ { 2 } }\)

---

Definitions:

Demographic Trends

Patterns or changes in the characteristics of a population over time, such as age, race, or income.

Obese

Obese describes a condition marked by excessive body fat, which can significantly raise the risk of various health issues such as heart disease, diabetes, and high blood pressure.

Caffeine

A stimulant found in coffee, tea, chocolate, and certain medications, known for its ability to enhance alertness and reduce feelings of fatigue.

Andropause

a term referring to age-related changes in male hormone levels, particularly a decrease in testosterone, sometimes called male menopause.