Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 26 x ^ { 2 } - 139 x + 189 } { ( x - 5 ) ( 2 x - 4 ) ^ { 2 } }$$

question 347

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 26 x ^ { 2 } - 139 x + 189 } { ( x - 5 ) ( 2 x - 4 ) ^ { 2 } }$$

• A) \(\frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { 4 } { x - 5 }\)
• B) \(\frac { 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { - 4 } { x - 5 }\)
• C) \(\frac { - 4 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { 5 } { x - 5 }\)
• D) \(\frac { 5 } { 2 x - 4 } + \frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 4 } { x - 5 }\)

---

Definitions:

Uncertainty Principle

A principle in quantum mechanics proposed by Werner Heisenberg that states it is impossible to simultaneously determine both the position and momentum of a particle with arbitrary precision.

Decision-Making Process

The systematic steps taken by individuals or groups to choose the best action from among various alternatives.

CISG

The United Nations Convention on Contracts for the International Sale of Goods, a treaty that establishes a uniform framework for international commerce.

Globalized New World Order

A concept or perspective on the shifting dynamics of global power, economics, and politics towards increased interconnectedness and homogenization across countries and cultures, often discussed with both positive and negative connotations.