Find All the Rational Zeros of the Function $$f ( x ) = - 2 x ^ { 5 } - 11 x ^ { 4 } - 19 x ^ { 3 } - 17 x ^ { 2 } - 17 x - 6 .$$

question 19

Multiple Choice

Find all the rational zeros of the function
$$f ( x ) = - 2 x ^ { 5 } - 11 x ^ { 4 } - 19 x ^ { 3 } - 17 x ^ { 2 } - 17 x - 6 .$$

• A) \(x = \frac { 1 } { 2 } , - 3 , - 1\)
• B) \(x = - \frac { 2 } { 3 } , 1 , - 2\)
• C) \(x = - \frac { 1 } { 2 } , \frac { 3 } { 2 } , - 2\)
• D) \(x = - \frac { 1 } { 2 } , \frac { 3 } { 2 }\)
• E) \(\quad x = - \frac { 1 } { 2 } , - 3 , - 2\)

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Definitions:

Factors

Variables that are manipulated or measured in experimental research to observe their effect on the outcome.

Beta Weights

Coefficients assigned to predictor variables in multiple regression analyses, reflecting the importance of each predictor in the presence of other variables.

Paths

In the context of statistics and research, refers to the hypothesized directional relationships between variables in a study or model.

Factor Analysis

A statistical method used to describe variability among observed variables in terms of a potentially lower number of unobserved variables, called factors.