Réponses

2014-09-06T15:22:55+02:00
On factorise:

g(x)= (5x-3) (x+1) +6x -10x² + (3-5x)²
g(x)= (5x-3) (x+1) + 2x (3-5x) + (3-5x) (3-5x)  ⇒ On factorise 6x -10x²
g(x)= -(-5x+3) (-x-1) + 2x (3-5x) + (3-5x) (3-5x) ⇒ On multiplie par -1
g(x)= (3-5x) (-(-x-1) +2x +3 -5x) ⇒ On factorise par (3-5x) qui est le facteur commun
g(x)= (3-5x) (x +1 -3x +3)
g(x)= (3-5x) (-2x +4)