Question Number 84572 by msup trace by abdo last updated on 14/Mar/20
![let F(z) =(z^2 /(1+z^7 )) 1) factorize inside C[x] and R[x] z^7 +1 2) decompose inside C(x)and R(x) the fraction F(x)](https://www.tinkutara.com/question/Q84572.png)
$${let}\:\:{F}\left({z}\right)\:=\frac{{z}^{\mathrm{2}} }{\mathrm{1}+{z}^{\mathrm{7}} } \\ $$$$\left.\mathrm{1}\right)\:{factorize}\:{inside}\:{C}\left[{x}\right]\:{and}\:{R}\left[{x}\right] \\ $$$${z}^{\mathrm{7}} \:+\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{inside}\:{C}\left({x}\right){and}\:{R}\left({x}\right) \\ $$$${the}\:{fraction}\:{F}\left({x}\right) \\ $$