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Factorisez \(x^5+4-4x^3-x^2\)
\((x^3-1)(x^2+4)\)
\((x-1)(x^2+x+1)(x-2)(x+2)\)
impossible
Factorisez \(6x-3x^2-3\)
\(3(x+1)^2\)
\(3(1-x)^2\)
\(x^2-2x+1\)
\(-3(x-1)^2\)
Factorisez \(ax^8-a\)
\(a(x^4-1)^2\)
\(a(x^2-1)^4\)
\(a(x-1)(x+1)(x^2+1)(x^4+1)\)
\(a(x-1)^8\)
Le reste de la division de \( x-x^3-1-2x^2\) par \(4+2x\) vaut
\(-\frac{1}{2}x^2+\frac{1}{2}\)
\(-2\)
\(0\)
\(-3\)
L'évaluation du polynôme \(P(x)= -3x^2+x-4\) en \(x=\frac{1}{2}\) vaut
\(-5\)
\(-\frac{17}{4}\)
\(-\frac{5}{2}\)
\(-\frac{9}{2}\)
Effectuez \((-4x^2+2y^3)^2\)
\(16x^4+4y^5-16x^2y^3\)
\(16x^4+4y^6-16x^2y^3\)
\(4y^6-16x^4\)
\(4x^4+2y^6-8x^2y^3\)
Factorisez \(2x^3-x^2-18x+9=\)
\((2x-3)^3\)
\((2x-1)(x^2+9)\)
\((x-9)(x+9)(6x+1)\)
\((2x-1)(x-3)(x+3)\)
Quel polynôme faut-il ajouter à \(x+5\) pour obtenir \(42x^2\) ?
\(42x^2\)
\(37x\)
\(42x^2-x-5\)
Effectuez \((x^4+\frac{a}{4})^2\)
\(x^8+\frac{a^2}{16}\)
\(x^8+\frac{a^2}{16}+\frac{1}{4}ax^4\)
\(x^{16}+\frac{a^2}{4}+\frac{1}{2}ax^4\)
\(x^8+\frac{a^2}{16}+\frac{1}{2}ax^4\)
\((x^2-1)^3=\)
\(x^6-1\)
\(-x^6+3x^4-3x^2+1\)
\(x^6-3x^4+3x^2-1\)
\(x^5-3x^4+3x^2-1\)
