Perform the Indicated Operation and Express Your Answer in Simplest $\frac { 6 } { x ^ { 2 } - 5 x - 24 } - \frac { 1 } { x ^ { 2 } - 3 x - 40 }$

question 13

Multiple Choice

Perform the indicated operation and express your answer in simplest form. $\frac { 6 } { x ^ { 2 } - 5 x - 24 } - \frac { 1 } { x ^ { 2 } - 3 x - 40 }$

• A) \(\frac { x + 27 } { ( x - 8 ) ( x - 3 ) ( x - 5 ) }\)
• B) \(\frac { 5 x + 27 } { ( x - 8 ) ( x + 3 ) ( x - 5 ) }\)
• C) \(\frac { 5 x + 27 } { ( x - 8 ) ( x + 3 ) ( x + 5 ) }\)
• D) \(\frac { 5 x + 27 } { ( x - 8 ) ( x - 3 ) ( x + 5 ) }\)
• E) \(\frac { x + 5 } { ( x - 8 ) ( x - 3 ) ( x - 5 ) }\)

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Definitions:

Affective and Cognitive

Pertaining to the emotions and mental processes involved in how people perceive and react to the world around them.

Emotional Intelligence's Impact

Refers to how the ability to understand and manage emotions enhances leadership effectiveness and organizational dynamics.

Trait Approach

A theory in leadership studies that assumes leaders possess certain inherent traits that make them effective.

Self-confidence

The belief in one’s own abilities and judgment, often seen as a critical trait for effective leadership and decision-making.