Write the Partial Fraction Decomposition of the Rational Expression $$\frac { - 4 x ^ { 2 } - 13 x - 12 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

question 163

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { - 4 x ^ { 2 } - 13 x - 12 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

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

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Definitions:

Superego

In Freudian psychology, the part of the psyche that operates as a moral conscience.

Erogenous Zone

Areas of the body that are particularly sensitive to stimulation and can lead to sexual arousal when touched.

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The functions of the mind that encompass thoughts, emotions, and behaviors, which influence personality, perception, and overall mental health.

Genetic Defects

Abnormalities in an organism's DNA that can lead to diseases or malformations, often inherited from parents.