Find All Real Zeros of the Polynomial $p ( x ) = - x ^ { 3 } + 9 x ^ { 2 } - 24 x + 16$

question 117

Essay

Find all real zeros of the polynomial $p ( x ) = - x ^ { 3 } + 9 x ^ { 2 } - 24 x + 16$ . Sketch the graph of $p$ .

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Definitions:

Research Question

A clear, focused question that guides a scientific study or research project, aiming to address specific aspects or phenomena.

Hypothesis

A theoretical statement explaining the relationship between two or more phenomena.

Variables

Elements, features, or factors that are liable to vary or change within a scientific experiment or research study.

Operationalized Variables

The process of defining variables systematically to ensure they are measurable and testable within research.