Find the X-Intercepts of the Polynomial Function $$x ^ { 5 } - 27 x ^ { 3 } + 50 x = 0$$

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.
- $$x ^ { 5 } - 27 x ^ { 3 } + 50 x = 0$$

A) 0 , crosses the $x$ -axis;
5 , crosses the $x$ -axis;
$- 5$ , crosses the $x$ -axis;
$\sqrt { 2 }$ , crosses the $x$ -axis;
$- \sqrt { 2 }$ , crosses the $x$ -axis
B) 0 , touches the $x$ -axis and turns around;
5 , crosses the $x$ -axis;
$- 5$ , crosses the $x$ -axis;
$\sqrt { 2 }$ , crosses the $x$ -axis;
$- \sqrt { 2 }$ , crosses the $x$ -axis
C) 0 , crosses the $x$ -axis;
25 , touches the $x$ -axis and turns around;
2 , touches the $x$ -axis and turns around
D) 0 , touches the $x$ -axis and turns around;
25 , touches the $x$ -axis and turns around;
2 , touches the $x$ -axis and turns around