Find the X-Intercepts of the Polynomial Function $$f ( x ) = 5 x ^ { 2 } - x ^ { 3 }$$

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.
- $$f ( x ) = 5 x ^ { 2 } - x ^ { 3 }$$

A) 0 , touches the $x$ -axis and turns around;
5 , crosses the $x$ -axis
B) 0 , crosses the $x$ -axis;
$\sqrt { 5 }$ , crosses the $x$ -axis;
$- \sqrt { 5 }$ , crosses the $x$ -axis
C) 0 , touches the $x$ -axis and turns around;
$\sqrt { 5 }$ , crosses the $x$ -axis;
$- \sqrt { 5 }$ , crosses the $x$ -axis
D) 0 , touches the $x$ -axis and turns around;
5 , touches the $x$ -axis and turns around