Find the zeros of the polynomial function and state the multiplicity of each.
$f ( x ) = ( 7 x - 2 ) ^ { 4 } \left( x ^ { 2 } + 16 \right) ^ { 3 }$
A) $\left. - \frac { 2 } { 7 } \text { (multiplicity } 4 \right) , \pm 4 \mathrm { i } \text { (multiplicity } 3 \text { ) }$
B) $\left. \frac { 2 } { 7 } \text { (multiplicity } 4 \right) , \pm 4 i \text { (multiplicity } 3 \text { ) }$
C) $\left. \frac { 2 } { 7 } \text { (multiplicity } 4 \right) , \pm 4 \text { (multiplicity } 3 \text { ) }$
D) $\frac { 4 } { 7 } \text { (multiplicity } 4 \text { ), } \pm 4 \mathrm { i } \text { (multiplicity } 3 \text { ) }$

Question

Quizplus · Accepted Answer

The zero of $7x - 2$ is $\frac{2}{7}$ with multiplicity 4, and the zeros of $x^2 + 16$ are $\pm 4i$ with multiplicity 3.

Find the Zeros of the Polynomial Function and State the Multiplicity