Factorisez l'expression A(x), puis déterminez le signe de A(x) suivant les valeurs de x.
a) A(x)=(x+2)²-16
b) A(x)=(2x+3)²-(x-1)²
c) A(x)=x²-2x
d) A(x)=(x+1)-x(x+1)
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a) A(x) = (x + 2)² - 16
A(x) = [(x + 2) + 4][(x + 2) - 4]
A(x) = (x + 2 + 4)(x + 2 - 4)
A(x) = (x + 6)(x - 2)
b) A(x) = (2x + 3)² - (x - 1)²
A(x) = [(2x + 3) + (x - 1)][(2x + 3) - (x - 1)]
A(x) = (2x + 3 + x - 1)(2x + 3 - x + 1)
A(x) = (3x + 2)(x + 4)
c) A(x) = x² - 2x
A(x) = x*x - 2x
A(x) = x(x - 2)
d) A(x) = (x + 1) - x(x + 1)
A(x) = 1 * (x + 1) - x(x + 1)
A(x) = (x + 1)(1 - x)