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Déterminez \(a\), \(b\) et \(c\) pour que les deux polynômes soient égaux, \( P(x)=(a-2)x^3-3x^2-5(3-b)x+c\) et \(Q(x)=2x^3-3x^2+5x-12\).
\(a=4,b=4,c=-12\)
\(a=4, b=-4, c=-12\)
\(a=0,b=2,c=12\)
\(a=2,b=5,c=-12\)
\((\sqrt{3}-\sqrt{2})^2=\)
\(5-2\sqrt{5}\)
\(1\)
\(5-\sqrt{6}\)
\(5-2\sqrt{6}\)
Effectuez \((2x-1)^3\)
\(8x^3-1\)
\(8x^3-6x^2+6x-1\)
\(1-6x+12x^2-8x^3\)
\(8x^3-12x^2+6x-1\)
\((2x+1)^3=\)
\(4x^2+4x+1\)
\(8x^3+1\)
\(8x^3+12x^2+6x+1\)
\(8x^3+6x^2+6x+1\)
L'évaluation du polynôme \(P(x)= x^3+5x^2-4x+2\) en \(x=2\) vaut
\(0\)
\(24\)
\(2\)
\(22\)
Effectuez \((-x+2)^3\)
\(8-x^3\)
\(8-6x+6x^2-x^3\)
\(8-12x+6x^2-x^3\)
\(x^3-6x^2+12x-8\)
Le polynôme \( x^2-3x+2\) est divisible par
\(x-2\)
\(x+1\)
\(x+2\)
\(x-5\)
\((2x-1)(2x+1)=\)
\(4x^2-4x+1\)
\(4x^2-1\)
\(4x^2+1\)
\(2x^2-1\)
Effectuez \(-(1+x^3+x^2)(x-1)\)
\(x^4-x^2-x+1\)
\(x^4+2x^3+x^2+x+1\)
\(1-x+x^2+x^3\)
\(-x^4+x^2-x+1\)
Le reste de la division de \(x^3+9x^2+11x-21\) par \( x-1\) vaut
\(-24\)
\(x^2+10x+21\)
