Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 3 } ( x + 3 ) ^ { 2 } ( x - 8 )$$

question 150

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.
- $$f ( x ) = - x ^ { 3 } ( x + 3 ) ^ { 2 } ( x - 8 )$$

• A) 0 , crosses the \(x\)-axis;
• \(- 3\), touches the \(x\)-axis and turns around;
• 8 , crosses the \(x\)-axis
• B) 0 , touches the \(x\)-axis and turns around;
• 3 , crosses the \(x\)-axis;
• 8 , crosses the \(x\)-axis
• C) 0 , crosses the x-axis;
• 3 , touches the \(x\)-axis and turns around;
• \(- 8\), crosses the \(x\)-axis
• D) 0 , touches the \(x\)-axis and turns around;
• \(- 3\), touches the \(x\)-axis and turns around;
• 8 , crosses the \(\mathrm { x }\)-axis

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Definitions:

Decimal Places

The count of figures positioned after the decimal point within a number.

Divide

A basic mathematical operation involving the division of one number by another to find a quotient.

Decimal Places

The number of digits to the right of the decimal point in a numerical value.

Divide

To perform division, which is one of the four basic operations in mathematics, separating something into equal parts or groups.