Find the X-Intercepts of the Polynomial Function $$f ( x ) = ( x - 3 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$$

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.
- $$f ( x ) = ( x - 3 ) ^ { 2 } \left( x ^ { 2 } - 25 \right)$$

A) 3 , touches the $x$ -axis and turns around;
$- 5$ , crosses the $x$ -axis;
5 , crosses the $x$ -axis
B) 3 , touches the $x$ -axis and turns around;
$- 5$ , touches the $x$ -axis and turns around;
5 , touches the $x$ -axis and turns around
C) 3 , touches the $x$ -axis and turns around;
25 , touches the $x$ -axis and turns around
D) $- 3$ , touches the $x$ -axis and turns around;
25 , crosses the $x$ -axis