$$f ( x ) = \frac { 1 } { 3 } x ^ { 2 } \left( x ^ { 2 } - 5 \right) ( x - 3 )$$

$$f ( x ) = \frac { 1 } { 3 } x ^ { 2 } \left( x ^ { 2 } - 5 \right) ( x - 3 )$$

A) 0 , multiplicity 2 , touches $x$ -axis;
3 , multiplicity 1 , crosses $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis
$- \sqrt { 5 }$ , multiplicity 1 , crosses $x$ -axis
B) 0 , multiplicity 2 , crosses $x$ -axis;
3 , multiplicity 1 , touches $x$ -axis;
$\sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis;
$- \sqrt { 5 }$ , multiplicity 1 , touches $x$ -axis
C) 0 , multiplicity 2, crosses x-axis;
3 , multiplicity 1 , touches $x$ -axis
D) 0 , multiplicity 2 , touches $x$ -axis;
3 , multiplicity 1 , crosses $x$ -axis

Correct Answer:

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