For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 2 } \left( x ^ { 2 } + 7 \right) ^ { 3 }$$

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.
- $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 2 } \left( x ^ { 2 } + 7 \right) ^ { 3 }$$

A) $- \frac { 1 } { 4 }$ , multiplicity 2, touches $x$ -axis
B) $- \frac { 1 } { 4 }$ , multiplicity 2, touches $x$ -axis; $- 7$ , multiplicity 3 , crosses $x$ -axis
C) $- \frac { 1 } { 4 }$ , multiplicity 2, crosses x-axis
D) $\frac { 1 } { 4 }$ , multiplicity 2 , touches $x$ -axis; 7 , multiplicity 3 , crosses $x$ -axis