Réponse :
Explications étape par étape
Bonjour
Exercice 2: Factoriser les expressions suivantes :
J(x)= 5x( puissances 4) – 25x³ + 100x² + 5x
J = 5x^4 - 25x^3 + 100x^2 + 5x
J = 5x * x^3 - 5x * 5x^2 + 5x * 20x + 5x * 1
J = 5x(x^3 - 5x^2 + 20x + 1)
K(x) = (5 - x)(4 + 2x) + 3x(5 – x)
K = (5 - x)(4 + 2x + 3x)
K = (5 - x)(5x + 4)
L(x) = (1+3x)(-4+ x) – (2x – 1)(-4+x)
L = (-4 + x)(1 + 3x - 2x + 1)
L = (-4 + x)(x + 2)
M(x) = 5x(2x – 1) + (2x – 1)
M = (2x - 1)(5x + 1)
N(x) = (4 – x)² - (3x + 1)(4 – x)
N = (4 - x)(4 - x - 3x - 1)
N = (4 - x)(-4x + 3)
O(x) = 49x² – 16
O = (7x)^2 - 4^2
O = (7x - 4)(7x + 4)
P(x) = (x- 1)²- 25
P = (x - 1)^2 - 5^2
P = (x - 1 - 5)(x - 1 + 5)
P = (x - 6)(x + 4)