Svp aidez moi pour cette exercice

Réponse:

1/ a/

(-3x+1)(x-3)=-3x²+9x+x-3

=-3x²+10x-3

=f(x)

b/

f(x)=0

cad (-3x+1)(x-3)=0

cad -3x+1=0 ou x-3=0

cad x=1/3 ou x=3

S={1/3;3}

2/

g(x)=4x²-4x+1-(2x-1)(x+2)

=4x²-4x+1-2x²-4x+x+2

=2x²-7x+3

3/ 4x²-4x+1= (2x)²-2×2x×1+1²

=(2x-1)²

4/

g(x)=4x²-4x+1-(2x-1)(x+2)

=(2x-1)²-(2x-1)(x+2)

=(2x-1)(2x-1-x-2)

=(2x-1)(x-3)

5/

g(x)=0

cad (2x-1)(x-3)=0

cad 2x-1=0 ou x-3=0

cad x=1/2 ou x=3

S={1/2 ;3}