Divide $$\frac { - 8 + 9 x - x ^ { 2 } } { x ^ { 2 } - 10 x + 16 } \div \frac { x ^ { 2 } - 4 x + 3 } { x ^ { 2 } - 3 x + 2 }$$

question 14

Multiple Choice

Divide: $$\frac { - 8 + 9 x - x ^ { 2 } } { x ^ { 2 } - 10 x + 16 } \div \frac { x ^ { 2 } - 4 x + 3 } { x ^ { 2 } - 3 x + 2 }$$

• A) \(- ( x - 1 ) ( x - 3 )\)
• B) \(\frac { x + 1 } { x + 3 }\)
• C) \(\frac { x - 1 } { x - 3 }\)
• D) \(- \frac { x - 1 } { x - 3 }\)
• E) \(- \frac { ( x - 1 ) ( x - 3 ) } { ( x - 2 ) ^ { 2 } }\)

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Definitions:

Psychological Disorder

A mental disorder characterized by disturbances in thought, behavior, or emotions that cause significant distress or impairment in functioning.

Hallucinations

Sensory perceptions that appear real but are created by the mind and do not exist outside of it.

Delusions

False beliefs held with strong conviction despite superior evidence to the contrary, often observed in psychiatric conditions.

Compulsions

Repetitive actions or rituals that an individual feels driven to perform, often in response to obsessive thoughts, aimed at reducing anxiety or preventing a dreaded event or situation.