Answer
Makes sense
Work Step by Step
Let $f\left( x \right)={{x}^{4}}+3{{x}^{2}}+2$ be a polynomial of degree $4$.
The zeros of the polynomial are,
$\begin{align}
& {{x}^{4}}+3{{x}^{2}}+2=0 \\
& {{x}^{4}}+2{{x}^{2}}+{{x}^{2}}+2=0 \\
& \left( {{x}^{2}}+1 \right)\left( {{x}^{2}}+2 \right)=0 \\
& x=\pm i,\pm \sqrt{2}i
\end{align}$
All these roots are not actual rational zeros.
Thus, the given statement makes sense.
