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.
- $$f ( x ) = 9 x ^ { 7 } + x ^ { 5 }$$

A) 0 (multiplicity 5) , $\frac { 1 } { 3 } \mathrm { i }$ (multiplicity 1 )
B) 1 (multiplicity 5) , $- \frac { 1 } { 3 } \mathrm { i }$ (multiplicity 1 )
C) 0 (multiplicity 5 ) , $\pm \frac { 1 } { 3 } \mathrm { i }$ (multiplicity 1 )
D) 0 (multiplicity 5) , $\pm \frac { 1 } { 3 }$ (multiplicity 1 )