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

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