Recover polynomial from 1 root
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09-21-2018, 01:17 PM
Post: #1
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Recover polynomial from 1 root
I were reading Mathematical Universe, by William Dunham
On page 210, he showed how an algebraic number must be a root of a specific polynomial (with integer coefficient) A hard example, r = sqrt(6) / (5^(1/3) + sqrt(3)), is a solution of ... 4 x^12 - 49248 x^10 - 37260 x^8 - 127440 x^6 + 174960 x^4 - 139968 x^2 + 46656 = 0 How does he do that ? What is the trick to recover polynomial from a single root ? BTW, anyone who has HP Prime, can you confirm r really is a root of that polynomial ? |
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Messages In This Thread |
Recover polynomial from 1 root - Albert Chan - 09-21-2018 01:17 PM
RE: Recover polynomial from 1 root - Valentin Albillo - 09-21-2018, 02:15 PM
RE: Recover polynomial from 1 root - Albert Chan - 09-21-2018, 02:38 PM
RE: Recover polynomial from 1 root - Albert Chan - 09-21-2018, 04:12 PM
RE: Recover polynomial from 1 root - Albert Chan - 10-09-2018, 12:37 PM
RE: Recover polynomial from 1 root - Tim Wessman - 10-12-2018, 07:34 AM
RE: Recover polynomial from 1 root - Valentin Albillo - 10-13-2018, 09:52 PM
RE: Recover polynomial from 1 root - Carsen - 09-21-2018, 07:48 PM
RE: Recover polynomial from 1 root - LCieParagon - 02-13-2021, 02:22 AM
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