Solve the Problem $f ( x ) = - x ^ { 4 } + x ^ { 3 } + 8 x ^ { 2 } - 12 x$

question 44

Multiple Choice

Solve the problem.
-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:

Creative Scientists

Individuals engaged in scientific inquiry who demonstrate originality, inventiveness, and the ability to solve problems through novel approaches.

Intrinsic Motivation

The drive to engage in activities for their own sake, deriving pleasure and satisfaction from the activities themselves, rather than from external rewards.

Practical Intelligence

A facet of intelligence related to the ability to solve everyday problems through adaptive or creative reasoning.

Predictive Validity

The success with which a test predicts the behavior it is designed to predict; it is assessed by computing the correlation between test scores and the criterion behavior. (Also called criterion-related validity.)