Find the Zeros of the Polynomial Function and State the Multiplicity

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
- $$f ( x ) = \left( x ^ { 2 } + 13 x + 40 \right) ^ { 2 }$$

A) 8 (multiplicity 2 ) , 5 (multiplicity 2 )
B) $- \sqrt { 5 }$ (multiplicity 4)
C) $\sqrt { 5 }$ (multiplicity $2 ) , - \sqrt { 5 }$ (multiplicity 2 )
D) $- 5$ (multiplicity 2) , $- 8$ (multiplicity 2 )