Question 27
Suppose $z=a+bi$ is a solution of the polynomial equation $$
\begin{aligned} c_4z^4+ic_3z^3+c_2z^2\\ {}+ic_1z+c_0=0, \end{aligned}
$$ where $c_0,$ $c_1,$ $c_2,$ $c_3,$ $c_4,$ $a,$ and $b$ are real constants and $i^2=-1.$ Which one of the following must also be a solution?
\begin{aligned} c_4z^4+ic_3z^3+c_2z^2\\ {}+ic_1z+c_0=0, \end{aligned}
$$ where $c_0,$ $c_1,$ $c_2,$ $c_3,$ $c_4,$ $a,$ and $b$ are real constants and $i^2=-1.$ Which one of the following must also be a solution?