Write the Partial Fraction Decomposition of the Rational Expression $\frac { x } { x ^ { 2 } - 9 x + 20 }$

question 5

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $\frac { x } { x ^ { 2 } - 9 x + 20 }$

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

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Definitions:

Compromise

A solution to a conflict or problem where all parties involved agree to concessions to reach a mutual agreement.

Confrontation

A direct encounter between individuals or groups characterized by a clash of opinions, beliefs, or interests, often used in therapeutic contexts to address issues.

Sublimation

A defense mechanism in psychoanalytic theory where socially unacceptable impulses or idealizations are unconsciously transformed into socially acceptable actions or behavior.

Displacement

In psychology, a defense mechanism where an individual shifts negative feelings or behaviors from the original source to a safer or more accessible target.