Exercice 1 Factoriser Exercice 2 Factoriser Exercice 3 Factoriser

3ème – Factorisation
Pierre-Yves Gouiffes – Collège Joseph-Anglade de Lézignan-Corbières
DES FACTORISATIONS
Exercice 1
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2x + 2y = … (… + …)
5y + 5z = … (… + …)
3m + 3n = … (… + …)
7a + 7b = … (… + …)
4u + 4v + 4w = … (… + … + …)
Exercice 2
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Factoriser
(x + 2)(x + 3) + 3(x + 2)
7(x – 4) + (x + 2)(x – 4)
(x + 5)(x – 1) + (x + 5)(x + 6)
(x – 2)(2x – 1) + (x + 3)(x – 2)
(2x + 3)(7 – 3x) + (x – 9)(2x + 3)
Exercice 6
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Factoriser
3a + 5a² = … × a + … × a = … (… + …)
7x + 4x² = … × … + … × … = … (… + …)
2x – 5xy = … × … – … × … = … (… – …)
6a + 8ab = … × … + … × … = … (… + …)
6x + 2x² = … × … – … × … = … (… – …)
Exercice 5
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Factoriser
3a + 6b = 3 × … + 3 × … = … (… + …)
2x – 4y = … × … – … × … = … (… – …)
5u – 15v = … × … – … × … = … (… – …)
14a + 7b = … × … + … × … = … (… + …)
6x + 9y = … × … + … × … = … (… + …)
Exercice 4
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Factoriser
3u – 3v = … (… – …)
2s – 2t = … (… – …)
5m – 5n = … (… – …)
6a – 6b = … (… – …)
11x + 11y – 11z = … (… + … – …)
Exercice 3
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Factoriser
Factoriser
(x + 3)(x + 1) – 4(x + 3)
8(x – 7) – (x + 5)(x – 7)
(x + 2)(x – 4) – (x + 2)(x + 6)
(x – 6)(2x – 3) – (x + 8)(x – 6)
(2x + 7)(8 – x) – (x – 5)(2x + 7)
http://pysa.free.fr/pedagogie/3factorisationexos.pdf
3ème – Factorisation
Exercice 7
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Factoriser
(x – 2)(x + 3) + x² – 9
x² – 1 + (x – 1)²
(3x + 5)(x – 2) + x² – 4
9x² – 1 – (3x – 1)(4x + 5)
(2x + 3)(7 – 6x) + 4x² – 9
Exercice 12
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Factoriser
(x – 4)(x – 3) – (x – 4)
(x – 7) – (x + 2)(x – 7)
(3x + 8)(x – 5) – (3x + 8)
(3x – 1) – (3x – 1)(4x + 5)
(2x + 3)(7 – 3x) – (7 – 3x)
Exercice 11
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Factoriser
(x + 1)(x – 7) + (x + 1)
(x – 2) + (x + 4)(x – 2)
(x + 5)(x – 2) + (x + 5)
(3x – 7) + (3x – 7)(2x + 5)
(2x + 1)(7 – 2x) + (7 – 2x)
Exercice 10
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Factoriser
(x + 1)(x + 2) – (x + 1)²
(x – 3)² – (x + 9)(x – 3)
(x + 6)(x – 8) – (x + 6)²
(3x – 2)² – (3x – 2)(2x + 5)
(2x + 1)(4 – 7x) – (4 – 7x)²
Exercice 9
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Factoriser
(x + 3)(x + 6) + (x + 3)²
(x – 2)² + (x + 5)(x – 2)
(x + 7)(x – 4) + (x + 7)²
(3x – 5)² + (3x – 5)(x + 7)
(2x + 7)(4 – 3x) + (4 – 3x)²
Exercice 8
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Pierre-Yves Gouiffes – Collège Joseph-Anglade de Lézignan-Corbières
Factoriser
(x – 7)(x – 3) + 5(x – 7) + (x – 7)(x + 4)
(x – 3) – (x + 2)(x – 3) + (x – 3)(2x + 9)
(3x + 1)(x – 7) – (3x + 1)² + (3x + 1)(2x + 3)
(3x – 1) – (3x – 1)(3x + 4) + (3x – 1)²
(2x + 3)(7 – 2x) – (7 – 2x) + 8(7 – 2x)
http://pysa.free.fr/pedagogie/3factorisationexos.pdf