For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \frac { 1 } { 5 } x \left( x ^ { 2 } - 5 \right)$$

question 276

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = \frac { 1 } { 5 } x \left( x ^ { 2 } - 5 \right)$$

• A) 0 , multiplicity 1
• B) \(\sqrt { 5 }\), multiplicity 1 , touches \(x\)-axis;
• \(- \sqrt { 5 }\), multiplicity 1 , touches \(x\)-axis
• C) 0 , multiplicity 1 , crosses \(x\)-axis;
• \(\sqrt { 5 }\), multiplicity 1 , touches \(x\)-axis;
• \(- \sqrt { 5 }\), multiplicity 1 , touches \(x\)-axis
• D) 0 , multiplicity 1 , touches \(x\)-axis;
• \(\sqrt { 5 }\), multiplicity 1 , crosses \(x\)-axis;
• \(- \sqrt { 5 }\), multiplicity 1 , crosses \(x\)-axis

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Definitions:

SST

In the context of statistics, often short for Sum of Squares Total, representing the total variability of a dataset.

Estimated Regression Equation

A formula that predicts a dependent variable based on one or more independent variables.

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Coefficient Of Determination

A statistical measure that explains how much the variance of one variable explains the variance of the second variable.