$$f ( x ) = 5 \left( x ^ { 2 } + 6 \right) \left( x ^ { 2 } + 4 \right) ^ { 2 }$$

Multiple Choice

$$f ( x ) = 5 \left( x ^ { 2 } + 6 \right) \left( x ^ { 2 } + 4 \right) ^ { 2 }$$

A) $\sqrt { 6 }$ , multiplicity 1 , crosses $x$ -axis; $- \sqrt { 6 }$ , multiplicity 1 , crosses $x$ -axis; 2 , multiplicity 2 , touches $x$ -axis; $- 2$ , multiplicity 2 , touches $x$ -axis
B) -6, multiplicity 1 , touches $x$ -axis; $- 4$ , multiplicity 2, crosses $x$ -axis
C) -6, multiplicity 1 , crosses $x$ -axis; $- 4$ , multiplicity 2 , touches $x$ -axis
D) No real zeros