Bonjour,
Développer:
P(x)= (5x- √3)(25-x^2)
P(x)= 125x - 25√3-5x³-x²√3 *** x²√3= √3x²
P(x)= -5x³+√3x²-25√3+125x
Factoriser:
(x)=(4x-6)(x+7)-(4x²-9)-(2x-3)(x+14)
(x)=2(2x-3)(x+7)-(2x-3)(2x+3)-(2x-3)(x+14)
(x)= (2x-3)[ 2(x+7) - (2x+3) - (x+14) ]
(x)= (2x-3)(2x+14-2x-3-x-14)
(x)= (2x-3)( - x - 3)
(x)= - (2x-3)(x+3)