Find the X-Intercepts of the Polynomial Function $$f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 6 )$$

question 10

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.
- $$f ( x ) = x ^ { 2 } ( x - 2 ) ( x - 6 )$$

• A) 0 , touches the \(x\)-axis and turns around;
• 2 , crosses the \(x\)-axis;
• 6, crosses the \(x\)-axis
• B) 0 , touches the \(x\)-axis and turns around;
• \(- 2\), crosses the \(x\)-axis;
• \(- 6\), crosses the \(x\)-axis
• C) 0 , crosses the \(x\)-axis;
• 2 , crosses the \(x\)-axis;
• 6 , crosses the \(x\)-axis
• D) 0 , crosses the \(x\)-axis;
• 2 , touches the \(x\)-axis and turns around;
• 6 , touches the \(x\)-axis and turns around

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