Find the Zeros of the Polynomial Function and State the Multiplicity

question 143

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) \(0 \text { (multiplicity } 4 \text { ), } \pm \frac { 1 } { 3 } \mathrm { i } \text { (multiplicity } 1 \text { ) }\)