Find the X-Intercepts of the Polynomial Function $$f ( x ) = x ^ { 4 } - 36 x ^ { 2 }$$

question 95

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and
turns around, at each intercept.
- $$f ( x ) = x ^ { 4 } - 36 x ^ { 2 }$$

• A) 0 , touches the \(x\)-axis and turns around;
• 36 , touches the \(x\)-axis and turns around
• B) 0 , crosses the \(x\)-axis;
• 6, crosses the \(x\)-axis;
• \(- 6\), crosses the \(x\)-axis
• C) 0 , touches the \(x\)-axis and turns around;
• 6 , crosses the \(x\)-axis;
• \(- 6\), crosses the \(x\)-axis
• D) 0 , touches the \(x\)-axis and turns around;
• 36 , crosses the \(x\)-axis

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Definitions:

Population Standard Deviation

A measure of the dispersion of a dataset relative to its mean, calculated for the entire population.

Symbols

Characters or graphical figures used to represent objects, quantities, or concepts.

Population

The entire pool from which a statistical sample is drawn and to which the results of analysis apply.

Standard Deviation

A statistical measure that quantifies the variation or dispersion of a set of numerical data points.