For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 4 } ( x + 1 ) ^ { 5 }$$

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.
- $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 4 } ( x + 1 ) ^ { 5 }$$

A) $\frac { 1 } { 4 }$ , multiplicity 4 , touches $x$ -axis; 1 , multiplicity 5 , crosses $x$ -axis
B) $\frac { 1 } { 4 }$ , multiplicity 4 , crosses $x$ -axis; 1 , multiplicity 5 , touches $x$ -axis
C) $- \frac { 1 } { 4 }$ , multiplicity 4 , touches $x$ -axis; $- 1$ , multiplicity 5 , crosses $x$ -axis
D) $- \frac { 1 } { 4 }$ , multiplicity 4 , crosses $x$ -axis; $- 1$ , multiplicity 5 , touches $x$ -axis