$$f ( x ) = \frac { 1 } { 5 } x ^ { 4 } \left( x ^ { 2 } - 5 \right)$$

Multiple Choice

$$f ( x ) = \frac { 1 } { 5 } x ^ { 4 } \left( x ^ { 2 } - 5 \right)$$

A) 0 , multiplicity 4 , touches $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis;
$- \sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis
B) 0 , multiplicity 4 , crosses $x$ -axis
C) 0 , multiplicity 4 , crosses $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis;
D) 0 , multiplicity 4 , touches $x$ -axis
$- \sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis