Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 12 x ^ { 2 } - 23 x + 20 } { ( x - 4 ) \left( x ^ { 2 } + 4 \right) }$$

question 126

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 12 x ^ { 2 } - 23 x + 20 } { ( x - 4 ) \left( x ^ { 2 } + 4 \right) }$$

• A) \(\frac { - ( 6 x + 1 ) } { x ^ { 2 } + 4 } + \frac { 6 } { x - 4 }\)
• B) \(\frac { 6 x + 1 } { x ^ { 2 } + 4 } + \frac { 6 } { x - 4 }\)
• C) \(\frac { 6 x - 1 } { x ^ { 2 } + 4 } + \frac { - 6 } { x - 4 }\)
• D) \(\frac { 6 x + 6 } { x ^ { 2 } + 4 } + \frac { 1 } { x - 4 }\)

---

Definitions:

Decreased Autonomy

A reduction in the ability or opportunity to make independent decisions or choices, often due to external control or influence.

Barrier to Trade

Any obstacle or condition that limits the flow of goods and services between countries, such as tariffs, quotas, or regulations.

Transnationalism

The process of heightened interconnectivity between people and the receding economic and social significance of boundaries among nation states.

Globalization

The process by which businesses or other organizations develop international influence or start operating on an international scale, leading to increased interconnectedness of the world's economies, cultures, and populations.