Decompose the Fraction into Partial Fractions $$\frac { 7 x - 11 } { x ^ { 2 } + 2 x - 3 }$$

question 43

Multiple Choice

Decompose the fraction into partial fractions. $$\frac { 7 x - 11 } { x ^ { 2 } + 2 x - 3 }$$

• A) \(\quad \frac { 8 } { x + 3 } - \frac { 1 } { x - 1 }\)
• B) \(\quad \frac { 8 } { x + 3 } + \frac { 1 } { x - 2 }\)
• C) \(\quad \frac { 6 } { x - 3 } + \frac { 1 } { x + 1 }\)
• D) \(\quad \frac { 6 } { x - 3 } - \frac { 1 } { x + 1 }\)
• E) none of these

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Definitions:

Hippocampus

A region of the brain that is associated with memory formation, navigation, and the consolidation of information from short-term to long-term memory.

Learned Response

A behavior that has been acquired through conditioning, where an individual learns to respond in a specific way to a stimulus after repeated exposure.

Ingroup Bias

Preference for members of one's own social group over those in other groups, often leading to prejudice and discrimination.

Instinctive Behavior

Actions or reactions that are inherently present in an individual from birth, not learned through experience or observation.