The Graph Of $f ( x ) = - x ^ { 4 } + x ^ { 3 } + 8 x ^ { 2 } - 12 x$

question 447

Multiple Choice

The graph of $f ( x ) = - x ^ { 4 } + x ^ { 3 } + 8 x ^ { 2 } - 12 x$ is shown below. Use the graph to factor $f ( x )$ .

• A) \(f ( x ) = - x ( x - 2 ) ( x + 3 ) ^ { 2 }\)
• B) \(f ( x ) = - x ( x + 3 ) ( x - 2 ) ^ { 2 }\)
• C) \(f ( x ) = - x ( x - 3 ) ( x + 2 ) ^ { 2 }\)
• D) \(f ( x ) = x ( x + 3 ) ( x - 2 ) ^ { 2 }\)

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Definitions:

Internal Factors

The influences that originate within an individual or entity, affecting its behavior, decisions, and performance.

External Factors

Elements outside an individual or organization that can influence its performance or outcomes.

Internal Attribution

The process of assigning the cause of behavior to something within the individual, such as personality traits or feelings.

Unstable Attribution

The belief that an individual's behavior or performance is due to changeable, situational factors rather than fixed traits.