Use the Rational Zero Theorem to List All Possible Rational $$f ( x ) = x ^ { 5 } - 3 x ^ { 2 } + 4 x + 7$$

question 124

Multiple Choice

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
- $$f ( x ) = x ^ { 5 } - 3 x ^ { 2 } + 4 x + 7$$

• A) \(\pm 1 , \pm 7\)
• B) \(\pm 1 , \pm \frac { 1 } { 7 }\)
• C) \(\pm \frac { 1 } { 3 } , \pm \frac { 7 } { 3 } , \pm 7\)
• D) \(\pm 7 , \pm \frac { 1 } { 7 }\)

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Definitions:

Scatterplot

A graphical representation of data points where each value in the dataset is represented by a dot, showing the relationship between two quantitative variables.

Y-Intercept

The point where a line or curve intersects the y-axis on a graph.

Regression Line

A straight line that best represents the relationship between an independent variable and a dependent variable in linear regression analysis.

Scatterplot

A type of graph used in statistics to display values for typically two variables for a set of data.