Let and be its real root

Express as a linear combination of and

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- January 28th 2013, 12:15 PMI-ThinkRoots and linear combinations
Let and be its real root

Express as a linear combination of and - January 28th 2013, 01:10 PMILikeSerenaRe: Roots and linear combinations
- January 28th 2013, 01:30 PMDevenoRe: Roots and linear combinations
- January 28th 2013, 01:36 PMILikeSerenaRe: Roots and linear combinations
Yep. Your arithmetic is ok. :)

Alternatively:

Now do a long division by to find (remainder turns out to be zero): - January 28th 2013, 01:41 PMDevenoRe: Roots and linear combinations
i'm curious, how did you know to stop at a cubic?

- January 28th 2013, 01:52 PMILikeSerenaRe: Roots and linear combinations