Prove that there is no irreducible polynomial of degree 2 in C[x].

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- Mar 21st 2010, 08:50 PMDeepureducible and irreducible
Prove that there is no irreducible polynomial of degree 2 in C[x].

- Mar 21st 2010, 09:33 PMTinyboss
If z is complex, write $\displaystyle z=re^{i\theta}$. Then $\displaystyle \sqrt{z}=\sqrt{r}e^{i\theta/2}$ is also in C.