Factor the Polynomial $p ( x ) = x ^ { 6 } - 6 x ^ { 4 } + 9 x ^ { 2 }$

question 56

Essay

Factor the polynomial $p ( x ) = x ^ { 6 } - 6 x ^ { 4 } + 9 x ^ { 2 }$ completely and find all its zeros. State the multiplicity of each zero.

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Definitions:

Standard Deviation

A measure indicating the breadth of spread or variability in a series of values, showing how much the values differ from their mean.

Sample Mean

The average of a set of observations from a sample, representing an estimate of the population mean.

Poker Time

A designated or scheduled period during which poker games are played, often referring to regular or tournament play times.

Standard Deviation

A mathematical indicator assessing the extent of spread within a collection of data points.