Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 2 } ( x + 6 ) \left( x ^ { 2 } - 1 \right)$$

question 112

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.
- $$f ( x ) = - x ^ { 2 } ( x + 6 ) \left( x ^ { 2 } - 1 \right)$$

• A) 0 , crosses the \(x\)-axis;
• \(- 6\), crosses the x-axis;
• \(- 1\), crosses the \(x\)-axis;
• 1 , crosses the \(x\)-axis
• B) 0 , touches the \(x\)-axis and turns around;
• \(- 6\), crosses the \(x\)-axis;
• 1 , touches the \(x\)-axis and turns around
• C) 0, touches the \(x\)-axis and turns around;
• 6, crosses the \(x\)-axis;
• \(- 1\), touches the \(x\)-axis and turns around;
• 1 , touches the \(x\)-axis and turns around
• D) 0 , touches the \(x\)-axis and turns around;
• \(- 6\), crosses the \(x\)-axis;
• \(- 1\), crosses the \(x\)-axis;
• 1 , crosses the \(x\)-axis

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Definitions:

Recommendation

A suggestion offered after consideration, often meant to guide decisions or actions in a particular direction.

Positive Reception

The favorable acceptance or approval of an idea, product, or initiative by an audience.

Completing Phase

The final stage in a project or process, where all activities are concluded and objectives are fulfilled.

Project

A planned set of interrelated tasks to be executed over a fixed period and within certain cost and other limitations.