$$x^{3}+\frac{1}{x^{3}},x^{4}+1+\frac{1}{x^{4}},; x^{4}-x^{2}+1$$
$x^{3}+\frac{1}{x^{3}},x^{4}+1+\frac{1}{x^{4}},x^{4}-x^{2}+1$