Find the Partial Fraction Decomposition for the Rational Expression $$\frac { - 5 x ^ { 2 } - 5 x + 6 } { ( x + 3 ) ^ { 2 } ( 3 x + 1 ) }$$

question 132

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { - 5 x ^ { 2 } - 5 x + 6 } { ( x + 3 ) ^ { 2 } ( 3 x + 1 ) }$$

• A) \(\frac { 1 } { 3 x + 1 } + \frac { - 2 } { x + 3 } + \frac { 3 } { ( x + 3 ) ^ { 2 } }\)
• B) \(\frac { 1 } { 3 x + 1 } + \frac { 2 } { ( x + 3 ) ^ { 2 } } + \frac { - 3 } { x + 3 }\)
• C) \(\frac { 1 } { 3 x + 1 } + \frac { - 3 } { ( x + 3 ) ^ { 2 } } + \frac { - 2 } { x + 3 }\)
• D) \(\frac { 1 } { 3 x + 1 } + \frac { 3 } { ( x + 3 ) ^ { 2 } } + \frac { 2 } { x + 3 }\)

Grasp the differences between directive and non-directive therapy approaches.

Recognize the effectiveness of interpersonal therapy for depression and the importance of understanding clients' motives and emotions.

Identify key figures in the development of psychoanalytic and humanistic therapies.

Understand the concept of insight in therapy as self-understanding and its importance for psychological well-being.

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