Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

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.
- $$f ( x ) = - x ^ { 2 } ( x + 7 ) \left( x ^ { 2 } + 1 \right)$$

A) 0 , touches the $x$ -axis and turns around;
$- 7$ , crosses the $x$ -axis
B) 0 , touches the $x$ -axis and turns around;
7 , crosses the $x$ -axis
C) 0 , touches the $x$ -axis and turns around;
$- 7$ , crosses the $x$ -axis;
$- 1$ , touches the $x$ -axis and turns around
D) 0 , touches the $x$ -axis and turns around;
$- 7$ , crosses the x-axis;
$- 1$ , crosses the $x$ -axis;
1 , crosses the $x$ -axis;