Factor Out the Greatest Common Monomial Factor of the Polynomial $3 x ^ { 3 } y ^ { 3 } - 6 y$

question 65

Multiple Choice

Factor out the greatest common monomial factor of the polynomial below, if one exists. $3 x ^ { 3 } y ^ { 3 } - 6 y$

• A) \(3 y \left( x ^ { 3 } y ^ { 2 } - 2 \right)\)
• B) \(3 x \left( x ^ { 2 } y ^ { 3 } - 2 \right)\)
• C) \(3 x \left( x ^ { 3 } y ^ { 2 } - 2 \right)\)
• D) \(3 y \left( x ^ { 2 } y ^ { 3 } - 2 \right)\)
• E)no common factor other than 1

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Definitions:

Coefficient of Determination

The coefficient of determination, often denoted as R^2, measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Total Variability

Refers to the overall variability observed in a data set, encompassing all sources of variation.

Sample Mean

The average of all the data points in a sample, which can be used to estimate the population mean.

Multiple Regression

An approach in statistics using several predictor variables to project the outcome of a response variable.