Simplify the Rational Expression $$\frac { x ^ { 2 } + 4 x - 45 } { x ^ { 2 } + 2 x - 63 }$$

question 14

Multiple Choice

Simplify the rational expression. (Assume the denominator is nonzero.)
- $$\frac { x ^ { 2 } + 4 x - 45 } { x ^ { 2 } + 2 x - 63 }$$

• A) \(\frac { x - 5 } { x - 7 }\)
• B) \(\frac { 4 x - 5 } { 2 x - 7 }\)
• C) \(\frac { 4 x - 45 } { 2 x - 63 }\)
• D) \(- \frac { x ^ { 2 } + 4 x - 45 } { x ^ { 2 } + 2 x - 63 }\)

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Definitions:

Venting

The act of expressing one's emotions freely to alleviate stress, often involving sharing frustrations.

Reduce Anger

To decrease the intensity of the emotion characterized by antagonism toward someone or something perceived as the cause of a grievance.

Anger

A strong feeling of annoyance, displeasure, or hostility.

Maladaptive

Behaviors or actions that are counterproductive to an individual's wellbeing or ability to meet their needs.