FACTORISATION (Un peu de tout...)

(1)

Corrigé de l’exercice 1

A= (−8x+ 3)×(8x+ 17)

B= (6x−3)²

C= (3x+ 1)×(10x+ 11)

D= (x+ 7)×(x−7)

E= (−10x+ 10)×(−x+ 12)

F = (5x−4)×(x−3)

A= (5x−2)²

B= (5x−1)×(15x−8)

C= (4x+ 8)×(−4x+ 8)

D= (16x−10)×10

E= (x−9)×(4x+ 1)

F = (2x+ 9)×(6x+ 2)

A= (7x+ 7)×(−4x−1)

B= (4x−10)²

C= (x+ 1)×(x−13)

D= (7x+ 3)×(−7x+ 3)

E= (5x+ 10)×(7x+ 6)

F = (7x+ 1)×(10x+ 7)

A= (2x+ 5)×(2x−5)

B= (3x+ 9)×(−2x−14)

C= (4x−3)²

D= (2x+ 16)×(−2x)

E= (6x−6)×(7x−9)

F = (10x−5)×(8x−3)

A= (−8x+ 8)×(−8x−6) B = (−6x−2)×(4x+ 3)

(2)

C= (9x+ 5)²

D= (6x+ 9)×(−6x+ 9)

E= (10x+ 4)×(−6x+ 5)

F = (−2x−3)×(5x+ 6)

A= (6x+ 10)×(10x−10)

B= (−2x−7)×(−14x+ 1)

C= (2x+ 5)×(−2x+ 5)

D= (8x+ 3)²

E= (10x+ 3)×(12x−7)

F = (6x+ 3)×(5x+ 4)

A= (7x+ 5)×(7x−5)

B= (5x−5)×(5x+ 9)

C= (3x+ 7)²

D= (9x+ 4)×(−3x+ 4)

E= (−2x+ 8)×(−12x+ 17)

F = (5x−1)×(−x−5)

A= (−6x+ 5)×13x

B= (3x+ 5)×(−3x+ 5)

C= (10x+ 6)×(2x+ 6)

D= (5x+ 10)²

E= (2x+ 7)×(6x−9)

F = (−2x+ 7)×(x−14)

A= (5x+ 3)×(5x−3)

B= (14x−4)×(6x+ 4)

C= (x−10)×(−2x−1)

D= (3x−6)²

E= (5x+ 1)×(15x+ 8)

F = (4x+ 8)×(−x+ 8)

(3)

A= (6x+ 5)×(6x−5)

B= (10x+ 8)²

C= (8x+ 7)×8x

D= (−2x+ 7)×(16x−7)

E= (8x−4)×(3x+ 10)

F = (−8x+ 4)×14x

A= (−9x−4)×(x−7)

B= (10x+ 4)²

C= (7x+ 2)×(7x−2)

D= (8x−3)×(8x−17)

E= (4x+ 8)×(10x+ 3)

F = (−6x−3)×(−8x+ 2)

A= (10x+ 4)×(10x−2)

B= (−2x+ 8)×0

C= (2x+ 1)²

D= (2x+ 8)×(2x−8)

E= (10x+ 9)×(4x+ 8)

F = (−x+ 7)×(−9x−3)

A= (x+ 3)×(19x+ 17)

B= (2x−4)²

C= (x+ 9)×(x−9)

D= (4x−5)×(−4x+ 11)

E= (5x+ 1)×(−3x−1)

F = (6x−8)×(4x+ 6)

A=−5x×(5x+ 8) B = (−8x−3)×(−6)

(4)

C= (3x+ 7)×(−3x+ 7)

D= (3x−8)²

E= (3x+ 5)×(7x+ 7)

F = (4x+ 8)×(−3x−2)

A= (2x+ 8)²

B= (−4x+ 3)×(8x+ 9)

C= (5x+ 5)×(5x−5)

D= (−4x+ 5)×(−8x+ 5)

E= (−7x−6)×(−5x−9)

F = (4x−6)×(4x+ 10)

A= (2x+ 5)²

B= (x+ 3)×(−x+ 3)

C= (8x+ 9)×(8x+ 5)

D= (3x+ 4)×(2x+ 7)

E= (7x+ 6)×(9x+ 9)

F = (4x+ 2)×(8x+ 5)

A= (2x+ 10)×(5x+ 5)

B= (7x+ 2)×(7x−2)

C= (−4x+ 8)×(−4x−4)

D= (x+ 1)²

E= (10x−3)×(−8x−5)

F = (3x+ 6)×(11x+ 13)

A= (x+ 8)×(x−8)

B= (3x−4)²

C= (−5x−5)×(5x+ 11)

D= (2x+ 8)×(12x+ 14)

E= (7x+ 9)×(8x+ 8)

F = (−7x+ 6)×(−17x+ 2)

(5)

A= (5x+ 5)×(−5x+ 13)

B= (10x+ 4)²

C= (2x+ 4)×(15x+ 4)

D= (10x+ 9)×(−10x+ 9)

E= (10x+ 5)×(12x+ 8)

F = (x+ 2)×(8x+ 7)

A= (−5x+ 3)×(−8x−2)

B= (4x+ 7)×(−4x+ 7)

C= (5x+ 9)×(x+ 9)

D= (10x−10)²

E= (4x+ 10)×(−5x+ 17)

F = (10x+ 4)×(8x+ 2)

A= (−7x−9)×(−12x−16)

B= (9x+ 6)×(−9x+ 6)

C= 4×(−12x+ 4)

D= (6x−1)²

E= (3x+ 4)×(3x−9)

F = (−8x−2)×(−5x+ 1)

A= (3x+ 5)×(−11x−9)

B= (−x+ 13)×(x−5)

C= (9x+ 3)×(9x−3)

D= (6x−1)²

E= (3x−4)×(−2x−13)

F = (9x+ 9)×(2x+ 8)

A= (3x−8)×(−3x+ 12)

B= (3x+ 10)×(−3x+ 10)

C= (x+ 5)×(x+ 6)

D= (9x+ 2)²

(6)

E= (5x−9)×(8x+ 6) F = (−7x−10)×(−3x−16)

A= (7x+ 7)×(−7x+ 7)

B= (2x+ 7)²

C= (8x−10)×(−15x−1)

D= (−2x+ 15)×(2x−1)

E= (−6x−4)×(3x−12)

F = (4x+ 10)×(10x+ 5)

A= (x−6)×(x+ 15)

B= (8x−10)²

C= (−5x+ 2)×(−7x+ 2)

D= (10x+ 3)×(−10x+ 3)

E= (7x+ 4)×(7x+ 6)

F = (8x−5)×(17x−15)

A= (7x+ 4)²

B= (8x+ 9)×(8x−9)

C= (−3x+ 1)×(−7x+ 3)

D= (3x−1)×(−3x+ 3)

E= (8x+ 6)×(7x+ 2)

F = (7x+ 8)×(4x−5)

A= (7x−1)²

B= (3x+ 8)×(3x−8)

C= (9x−3)×(x+ 3)

D= (3x+ 2)×(4x−4)

E= (−9x+ 5)×(−19x+ 1)

F = (9x+ 6)×(7x+ 11)

(7)

A= (−5x+ 8)×(−4x+ 4)

B= (2x−5)²

C= (4x+ 9)×(4x−9)

D= (2x+ 4)×(−2x+ 8)

E= (5x−10)×(6x+ 7)

F = (x−2)×(−2x+ 2)

A= (5x+ 10)×(−6x−5)

B= (3x+ 5)×(3x−5)

C=−7×(12x+ 7)

D= (8x+ 5)²

E= (x−4)×(−5x−14)

F = (5x−9)×(6x+ 8)

A= (10x+ 8)×(10x−8)

B= (−8x+ 8)×(−6x+ 1)

C= (9x−3)²

D= (9x+ 14)×(9x+ 6)

E= (5x+ 5)×(5x−6)

F = (−6x+ 10)×(−16x+ 3)