Find the X-Intercepts of the Polynomial Function $$f ( x ) = ( x - 2 ) ^ { 2 } \left( x ^ { 2 } - 9 \right)$$

question 174

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.
- $$f ( x ) = ( x - 2 ) ^ { 2 } \left( x ^ { 2 } - 9 \right)$$

• A) 2 , touches the \(x\)-axis and turns around;
• \(- 3\), touches the \(x\)-axis and turns around
• 3 , touches the \(x\)-axis and turns around
• B) \(- 2\), touches the \(x\)-axis and turns around;
• ; 9 , crosses the \(x\)-axis
• C) 2 , touches the \(x\)-axis and turns around;
• \(- 3\), crosses the \(x\)-axis;
• 3 , crosses the \(x\)-axis
• D) 2 , touches the \(x\)-axis and turns around;
• 9 , touches the \(x\)-axis and turns around

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