Question Number 46420 by maxmathsup by imad last updated on 25/Oct/18
![let p(x)=(1+ix)^5 −1 with i^2 =−1 1) solve inside C[x] the equation p(x)=0 2)factorize inside C[x] the polynom p(x)](https://www.tinkutara.com/question/Q46420.png)
$${let}\:{p}\left({x}\right)=\left(\mathrm{1}+{ix}\right)^{\mathrm{5}} −\mathrm{1}\:\:{with}\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{solve}\:{inside}\:{C}\left[{x}\right]\:{the}\:{equation}\:{p}\left({x}\right)=\mathrm{0} \\ $$$$\left.\mathrm{2}\right){factorize}\:{inside}\:{C}\left[{x}\right]\:{the}\:{polynom}\:{p}\left({x}\right) \\ $$$$ \\ $$$$ \\ $$