Exercices

Exercice 1

vrai ou faux ?​

G = 36 + 12𝒙 + 𝒙² = (6 + 𝒙)²​

​H = 𝒙² + 8𝒙 + 4 = (𝒙 + 2)²​

​I = 24𝒙 + 9𝒙² + 16 = (3𝒙 + 4)²​

​J = 36𝒙² + 42𝒙 + 49 = (6𝒙 + 7)²

​Exercice 2

Factoriser          ​

A = 4𝒙² + 10𝒙                   ​

B = 10𝒙 + 25

​C = 4𝒙² + 20𝒙 + 25 ​

D = 9𝒙² + 30𝒙 + 25 ​

E = 25𝒙² + 20𝒙 + 4 ​

F = 4𝒙² + 36𝒙 + 81 

Exercice 3

Juste ou faux ?​

 K = 36 – 12𝒙 + 𝒙² = (6 – 𝒙)²​

​ L = 24𝒙 – 9𝒙² + 16 = (3𝒙 – 4)²​

​ M = 36𝒙² + 42𝒙 – 49 = (6𝒙 – 7)²​

Exercice 4

Factoriser si possible :           ​

M = 4𝒙² – 12𝒙 +9                  ​

N = 64𝒙² – 32𝒙 + 4​

P = 4𝒙² – 6𝒙 + 9​

Q = 25𝒙² + 20𝒙 – 4​

R = 4𝒙² + 81 – 36𝒙

Exercice 5

Juste ou faux ?​

 S = 36 – 𝒙² = (6 – 𝒙)(6 + 𝒙)​

 T = 9𝒙² + 16 = (3𝒙 – 4)(3𝒙 + 4)​

 Y = 9𝒙² – 16 = (3𝒙 – 4)(3𝒙 + 4)​

Exercice 6

​Factoriser si possible :           ​

U = 100𝒙² – 4              ​

V = 4𝒙² – 81​

W =16𝒙² + 9​

 X = 49 – 𝒙²​

Exercice 7

Factoriser les expressions suivantes.

A=𝒙(2𝒙+4)−5(2𝒙+4)

B = 4(𝒙+4)+𝒙(𝒙+4)

C = 3(2𝒙+2)-𝒙(2𝒙+2)

D = 𝒙(2𝒙+5)+2(2𝒙+5)

E = 3(2𝒙+3)-𝒙(2𝒙+3)

Exercice 7 (Brevet)

A = (2𝒙 – 3)² – (𝒙 – 1)²

​1- Développer et réduire A​

​2- Factoriser A​

​3- Calculer A pour 𝒙 = -3

Pages : 1 2