Write the Partial Fraction Decomposition of the Rational Function $\frac { 2 ( 4 x - 3 ) } { x ^ { 2 } - 9 }$

question 28

Multiple Choice

Write the partial fraction decomposition of the rational function.​ $\frac { 2 ( 4 x - 3 ) } { x ^ { 2 } - 9 }$ ​

• A) \(\frac { 3 } { x - 3 } + \frac { 5 } { x - 3 }\)
• B) \(\frac { 3 } { x - 3 } + \frac { 5 } { x + 3 }\)
• C) \(\frac { 3 } { x - 3 } - \frac { 5 } { x - 3 }\)
• D) \(\frac { 3 } { x - 3 } + \frac { 2 } { x + 3 }\)
• E) \(\frac { 3 } { x - 3 } - \frac { 5 } { x - 3 }\)

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Definitions:

Authority

Authority refers to the legitimate power or right to give orders, make decisions, and enforce obedience, often held by individuals in positions of leadership or institutions.

Deinstitutionalization

The process of reducing or eliminating reliance on institutional care (e.g., mental health hospitals) in favor of community-based services.

Diversity

The representation and acknowledgment of a wide range of differences within a population, including cultural, ethnic, gender, sexual orientation, and ideological perspectives.

Likely To Vote

Individuals or demographic groups that are considered more probable to participate in elections based on factors such as age, education, and political engagement.