Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 3 x - 14 } { ( x - 4 ) ^ { 2 } }$$

question 207

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 3 x - 14 } { ( x - 4 ) ^ { 2 } }$$

• A) \(\frac { 3 } { x - 4 } + \frac { - 2 } { ( x - 4 ) ^ { 2 } }\)
• B) \(\frac { 2 } { x - 4 } + \frac { - 3 } { ( x - 4 ) ^ { 2 } }\)
• C) \(\frac { 3 } { x - 4 } + \frac { 2 } { ( x - 4 ) ^ { 2 } }\)
• D) \(\frac { 6 } { x - 4 } + \frac { 4 } { ( x - 4 ) ^ { 2 } }\)

---

Definitions:

Truly Reflects

Accurately and genuinely represents the essence, reality, or intentions of a subject, concept, or value.

Authoritative Performance

The act of executing tasks with confidence and authority, often in a manner that commands respect and adherence from others.

Conform to Society

The act of adhering to the norms, values, and expectations established by one's social group or society at large.

Stand Out

To be noticeably different or distinguishable from others.