For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = 2 \left( x ^ { 2 } + 1 \right) \left( x ^ { 2 } + 6 \right) ^ { 2 }$$

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.
- $$f ( x ) = 2 \left( x ^ { 2 } + 1 \right) \left( x ^ { 2 } + 6 \right) ^ { 2 }$$

A) No real zeros

B) $- 1$ , multiplicity 1 , touches $x$ -axis; $- 6$ , multiplicity 2 , crosses $x$ -axis

C) 1 , multiplicity 1 , crosses $x$ -axis; $- 1$ , multiplicity 1 , crosses $x$ -axis;
$\sqrt { 6 }$ , multiplicity 2 , touches $x$ -axis; $- \sqrt { 6 }$ , multiplicity 2 , touches $x$ -axis

D) $- 1$ , multiplicity 1 , crosses $x$ -axis; $- 6$ , multiplicity 2 , touches $x$ -axis