From the problem, we have :
[tex]\frac{-5z^6+6z^4+z^2+4}{2z^2}[/tex]
We can split the numerator with the same denominators, this will be :
[tex]\begin{gathered} \frac{-5z^6}{2z^2}+\frac{6z^4}{2z^2}+\frac{z^2}{2z^2}+\frac{4}{2z^2} \\ \Rightarrow-\frac{5}{2}z^4+3z^2+\frac{1}{2}+\frac{2}{z^2} \end{gathered}[/tex]
ANSWER :
[tex]-\frac{5}{2}z^4+3z^2+\frac{1}{2}+\frac{2}{z^2}[/tex]
