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Xc4p4bl3
@Xc4p4bl3
April 2019
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On donne Z = (12x + 3)(2x – 7) – (2x – 7)²
1) Développer et réduire Z.
2) Factoriser Z.
3) Calculer Z pour x =2.
4) Calculer Z pour x = -1.
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nathalienouts
Z = (12x + 3)(2x – 7) – (2x – 7)²
1)
Z = 24x
²-84x+6x-21-(4x²-28x+49)
Z = 24x²-78x-21-4x²+28x-49
Z = 20x²-50x-70
2)
on met 2x-7 en facteur
Z = (2x-7)(12x+3-2x+7)
Z = (2x-7)(10x+10)
Z = 10(x+1)(2x-7)
3)
Z(2) = 10x3x(4-7) = 30x-3 = -90
4)
Z(-1) = 20+50-70 = 70-70 = 0
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xc4p4bl3
Merci comment fait tu pour développer aussi vite ? ^^
xc4p4bl3
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1)
Z = 24x²-84x+6x-21-(4x²-28x+49)
Z = 24x²-78x-21-4x²+28x-49
Z = 20x²-50x-70
2)
on met 2x-7 en facteur
Z = (2x-7)(12x+3-2x+7)
Z = (2x-7)(10x+10)
Z = 10(x+1)(2x-7)
3)
Z(2) = 10x3x(4-7) = 30x-3 = -90
4)
Z(-1) = 20+50-70 = 70-70 = 0