Bonjour,
Exercice 1. Factoriser:
A(x) = 6x + 18 (6*x + 6*3)
= 6(x + 3)
B(x) = 45 - 18x (9*5 - 9*2x)
= 9(5 - 2x)
C(x) = 8x - 56 (8*x - 8*7)
= 8(x - 7)
D(x) = 7x² - 21x (7x*x - 7x*3)
= 7x(x - 3)
E(x) = 15x - 10 (5*3x - 5*2)
= 5(3x - 2)
F(x) = 39x + 26x² ( 13x*3 + 13x*2x)
= 13x(3 + 2x)
Exercice 2. Factoriser:
A(x) = (5x + 4)(x - 2) + (5x + 4)(8 - 3x)
A(x) = (5x + 4)(x - 2 + 8 - 3x)
A(x) = (5x + 4)(-2x + 6)
B(x) = (x + 4)(3x - 2) - (7x + 4)(3x - 2)
B(x) = (3x + 2)(x + 4 - (7x + 4))
B(x) = (3x + 2)(x + 4 - 7x - 4)
B(x) = -6x(3x + 2)
C(x) = (x + 4)(2x - 7) + 3x(x + 4)
C(x) = (x + 4)(2x - 7 + 1)
C(x) = (x + 4)(2x - 6)
D(x) = 5(8 - 3x) - (-3x + 11)(8x - 3)
D(x) = (8 - 3x)(5 - (-3x + 11)
D(x) = (8 - 3x)( 5 + 3x - 11)
D(x) = (8 - 3x)(3x - 6)
E(x) = (4x - 21)(9x - 7) + (9x - 7)(-6x - 9)
E(x) = (9x - 7)(4x - 21 - 6x - 9)
E(x) = (9x - 7)(-2x - 30)
F(x) = (-7x + 1)(x + 2) - (-9 - 5x)(-7x + 1)
F(x) = (-7x + 1)(x + 2-(-9 - 5x)
F(x) = (-7x + 1)(x + 2 + 9 + 5x)
F(x) = (-7x + 1)(6x + 11)
* = multiplication
Bonne journée.
