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.
$f ( x ) = 9 x ^ { 6 } + x ^ { 4 }$

A) $\left. 0 \text { (multiplicity } 4 ) , \pm \frac { 1 } { 3 } \text { (multiplicity } 1 \right)$
B) $0 \text { (multiplicity } 4 \text { ) , } \frac { 1 } { 3 } \mathrm { i } \text { (multiplicity } 1 \text { ) }$
C) $1 \text { (multiplicity } 4 \text { ) , } - \frac { 1 } { 3 } \mathrm { i } \text { (multiplicity } 1 \text { ) }$
D) $0 \text { (multiplicity } 4 \text { ) , } \pm \frac { 1 } { 3 } \mathrm { i } \text { (multiplicity } 1 \text { ) }$