Timeline for Real roots for polynomials
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2021 at 18:20 | comment | added | YCor | Since this was not mentioned so far, note that $P$ has a real root iff the real polynomial $\gcd(P,\bar{P})$ has a real root, where $\bar{P}(z)=\overline{P(\bar{z})}$. The interest is that $\gcd$ has smaller degree (instead of $P\bar{P}$ which has twice the degree)— generically it even has degree $0$. | |
| Dec 7, 2021 at 17:43 | history | edited | Denis Serre | CC BY-SA 4.0 |
edited body; edited title
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| Jul 18, 2011 at 15:45 | answer | added | mosen | timeline score: 0 | |
| Jul 18, 2011 at 14:49 | vote | accept | mosen | ||
| Jul 18, 2011 at 12:26 | answer | added | Denis Serre | timeline score: 11 | |
| Jul 18, 2011 at 11:51 | answer | added | mathphysicist | timeline score: 5 | |
| Jul 18, 2011 at 11:06 | comment | added | Yemon Choi | Sufficient, yes. Necessary, probably not. (If $p$ has a real root then so does $pq$ for any complex polynomial $q$.) | |
| Jul 18, 2011 at 10:59 | history | asked | mosen | CC BY-SA 3.0 |