For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \frac { 1 } { 5 } x \left( x ^ { 2 } - 5 \right)$$

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = \frac { 1 } { 5 } x \left( x ^ { 2 } - 5 \right)$$

A) 0 , multiplicity 1

B) $\sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis;
$- \sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis

C) 0 , multiplicity 1 , crosses $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis;
$- \sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis

D) 0 , multiplicity 1 , touches $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis;
$- \sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis