Post Reply 
Recover polynomial from 1 root
09-21-2018, 01:17 PM
Post: #1
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 ?
Find all posts by this user
Quote this message in a reply
Post Reply 


Messages In This Thread
Recover polynomial from 1 root - Albert Chan - 09-21-2018 01:17 PM



User(s) browsing this thread: 1 Guest(s)