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Vegoku3
@Vegoku3
May 2019
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On considère l’expression C = - 4x2 + 11x - 6 + (x - 2) (-3x + 5)
1) Vérifier que - 4x2 + 11x - 6 = (x - 2) (3 - 4x)
2) En déduire la factorisation de l’expression C.
Merci d'avance ;)
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nonotata
Bonjor
1) Vérifier que
- 4x2 + 11x - 6 = (x - 2) (3 - 4x)
-4x²+11x-6 = 3x-4x²-6+8x
-4x²+11x-6 = -4x²+11x-6
2) En déduire la factorisation de l’expression C.
C = - 4x2 + 11x - 6 + (x - 2) (-3x + 5)
(x-2)(3-4x) +(x-2)(-3x+5)
(x-2)(3-4x-3x+5)
(x-2)(-7x+8)
1 votes
Thanks 1
Vegoku3
Merci ;) En gros il fallait tout simplement développer (x - 2) (3 - 4x) puis ensuite factoriser. C'est après coup que je remarque la simplicité de cet exos
mohayati2006
1) Vérifier que - 4x² + 11x - 6 = (x - 2) (3 - 4x)
- 4x2 + 11x - 6
=-3x²-x²+4x+7x-4-2
=-3x²+7x-2-(x²-4x+4)
=-3x²+7x-2-(x-2)²
=-3x(x-2)+x-2-(x-2)²
=-3x(x-2)+x-2-(x-2)²
=(x-2)(-3x+1)-(x-2)²
=(x-2)(-3x+1-(x-2))
=(x-2) (-3x+1-x+2)
(x-2) (-4x+3)
=(x-2)(3-4x)
2) En déduire la factorisation de l’expression C.
C = - 4x²+ 11x - 6 + (x - 2) (-3x + 5)
=(x-2) (3-4x)+(x-2)(-3x+5)
=(x-2) (3-4x-3x+5)
=(x-2) (-7x+8)
0 votes
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Vegoku3
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1) Vérifier que
- 4x2 + 11x - 6 = (x - 2) (3 - 4x)
-4x²+11x-6 = 3x-4x²-6+8x
-4x²+11x-6 = -4x²+11x-6
2) En déduire la factorisation de l’expression C.
C = - 4x2 + 11x - 6 + (x - 2) (-3x + 5)
(x-2)(3-4x) +(x-2)(-3x+5)
(x-2)(3-4x-3x+5)
(x-2)(-7x+8)
- 4x2 + 11x - 6
=-3x²-x²+4x+7x-4-2
=-3x²+7x-2-(x²-4x+4)
=-3x²+7x-2-(x-2)²
=-3x(x-2)+x-2-(x-2)²
=-3x(x-2)+x-2-(x-2)²
=(x-2)(-3x+1)-(x-2)²
=(x-2)(-3x+1-(x-2))
=(x-2) (-3x+1-x+2)
(x-2) (-4x+3)
=(x-2)(3-4x)
2) En déduire la factorisation de l’expression C.
C = - 4x²+ 11x - 6 + (x - 2) (-3x + 5)
=(x-2) (3-4x)+(x-2)(-3x+5)
=(x-2) (3-4x-3x+5)
=(x-2) (-7x+8)