Find All Numbers for Which the Rational Expression Is Not $$\frac { x ^ { 2 } - 16 } { x ^ { 2 } + 2 x - 24 }$$

question 97

Multiple Choice

Find all numbers for which the rational expression is not defined.
- $$\frac { x ^ { 2 } - 16 } { x ^ { 2 } + 2 x - 24 }$$

• A) \(x = - 4\) and \(x = 6\)
• B) \(x = 4\) and \(x = - 4\)
• C) \(x = 4\) and \(x = - 6\)
• D) \(x = 0\)

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Definitions:

Longer Messages

Communications that contain more content or information, often used in the context of persuasion or information dissemination.

Logical Order

The arrangement of ideas, statements, or events in a sequence that follows a coherent and orderly pattern, often used to enhance understanding or argumentation.

Balance Theory

A theory which proposes that the motivation to maintain consistency among one’s thoughts colors how people form new attitudes and can also drive them to change existing attitudes.

Cognitive Dissonance

A psychological conflict resulting from incongruous beliefs and attitudes held simultaneously.