For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x + 6 ) ^ { 2 }$$

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.
- $$f ( x ) = 3 \left( x ^ { 2 } + 5 \right) ( x + 6 ) ^ { 2 }$$

A) $- 6$ , multiplicity 2 , touches $x$ -axis
B) $- 5$ , multiplicity 1 , touches $x$ -axis; $- 6$ , multiplicity 2 , crosses $x$ -axis
C) $- 6$ , multiplicity 2 , crosses $x$ -axis
D) $- 5$ , multiplicity 1 , crosses $x$ -axis; $- 6$ , multiplicity 2 , touches $x$ -axis