Find the Partial Fraction Decomposition for the Rational Expression $\frac { 2 x ^ { 3 } - 5 x ^ { 2 } - 1 x + 7 } { ( x - 1 ) ^ { 3 } ( x + 2 ) }$

question 206

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 2 x ^ { 3 } - 5 x ^ { 2 } - 1 x + 7 } { ( x - 1 ) ^ { 3 } ( x + 2 ) }$

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

Examine the role of religion and ethics in societal development.

Understand the methodology and approaches used in sociological research.

Analyze the impact of education and employment as social functions.

Appreciate the diversity of theoretical perspectives in sociology.

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