Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

question 81

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }$$

• A) \(\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { 4 } { x - 4 }\)
• B) \(\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { - 4 } { x - 4 }\)
• C) \(\frac { 135 x + 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }\)
• D) \(\frac { 135 x - 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }\)

Appreciate the diversity in reasoning processes across cultures and its impact on cognitive development.

Recognize the challenges and characteristics of nontraditional students in higher education.

Comprehend the influence of emotion and cognitive affective complexity on decision-making processes.

Acknowledge the variation in reasoning about causal events across different cultures.

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