Find the Zeros for the Polynomial Function and Give the Multiplicity

question 180

Multiple Choice

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses
the x-axis or touches the x-axis and turns around, at each zero.
- $$f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 24 x + 20$$

• A) \(- 2\), multiplicity 2, touches the \(x\)-axis and turns around;
• \(- 5\), multiplicity 1 , crosses the \(x\)-axis.
• B) \(- 2\), multiplicity 2 , crosses the x-axis;
• \(- 5\), multiplicity 1 , touches the \(x\)-axis and turns around
• C) 2, multiplicity 1, crosses the x-axis;
• \(- 2\), multiplicity 1 , crosses the \(x\)-axis;
• \(- 5\), multiplicity 1 , crosses the \(x\)-axis.
• D) 2, multiplicity 1, crosses the x-axis;
• \(- 2\), multiplicity 2 , touches the \(x\)-axis and turns around;
• \(- 5\), multiplicity 1 , crosses the \(x\)-axis.

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Definitions:

Pearson r

A measure of the linear correlation between two variables, ranging from -1 to 1, where 1 means a perfect positive linear relationship, -1 a perfect negative linear relationship, and 0 no linear relationship.

Number of Victimizations

The count or tally of instances in which individuals or entities are harmed or affected adversely, typically used in criminological and sociological research.

Scatterplots

A graph in which two variables are plotted along two axes, the pattern of the resulting points revealing any correlations.

Regression Equation

An equation that represents the relation between a dependent variable and one or more independent variables, used to predict the dependent variable.