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polynôme.md
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polynôme.md
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up::[[MOC polynômes]]
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#maths/analyse
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----
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> [!query]+ Sous-notes de `$= dv.el("span", "[[" + dv.current().file.name + "]]")`
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> ```breadcrumbs
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> title: false
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> type: tree
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> dir: down
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> ```
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Un polynôme est une expression de la forme :
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$P(x) = a_0x^n + a_1x^{n-1} + \cdots + a_{n-2}x^2 + a_{n-1}x + a_n$
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Soit : $\displaystyle P(x) = \sum_{n=0}^d(a_nx^{d-n})$
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# Degré
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Le _degré_ d'un polynôme est la plus haute puissance contenue dans ce polynôme.
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**Exemple**: le polynôme $9x^3 + 5x - 12$ est de degré 3, car la plus grande puissance
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> [!query] Sous-notes de `=this.file.link`
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> ```dataview
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> LIST title
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> FROM -#cours AND -#exercice AND -"daily" AND -#excalidraw AND -#MOC
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> WHERE any(map([up, up.up, up.up.up, up.up.up.up], (x) => econtains(x, this.file.link)))
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> WHERE file != this.file
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> SORT up!=this.file.link, up.up.up.up, up.up.up, up.up, up
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> ```
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