Notes
The setting¶
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| Symbol | Definition | Note |
|---|---|---|
| p(x) | polynomial with x | |
| t(x) | minimal polynomial of p | cofactors \(t(x)\) |
| h(x) | arbitrary polynomial |
Example :
\[p(x) = x^{3}-3x^{2}+2x = x(x-1)(x-2)\]
Cofactors : \(t(x) =(x-1)(x-2)\)
Arbitrary polynomial : \(h(x)\) is the result of \(\frac{p(x)}{t(x)}\) without remainder.