bonjour,
P(x)=(x²-2x+1)-(5-x)(2x-2)+1-x
P(x)=(x-1)²-2(5-x)(x-1)-(x-1)
P(x)=(x-1)[(x-1)-2(5-x)-1]
P(x)=(x-1)(x-1-10+2x-1)
P(x)=(x-1)(3x-12)=3(x-1)(x-4)
Q(x)=(4x²-1)-3(2-x)(2x-1)-3x+6x²
Q(x)=(2x+1)(2x-1)-3(2-x)(2x-1)+3x(2x-1)
Q(x)=(2x-1)[(2x+1)-3(2-x)+3x]
Q(x)=(2x-1)(2x+1-6+3x+3x)
Q(x)=(2x-1)(8x-5)
R(x)=(x²-x+1/4)-(5-x)(2x-1)+1-x
R(x)=(x-1/2)²-2(5-x)(x-1/2)-2(x-1/2)
R(x)=(x-1/2)[(x-1/2)-2(5-x)-2]
R(x)=(x-1/2)(x-1/2-10+2x-2)
R(x)=(x-1/2)(3x-25/2)
S(x)=(4x²-1)-3(2-x)(2x-1)+1-2x
S(x)=(2x+1)(2x-1)-3(2-x)(2x-1)+(2x-1)
S(x)=(2x-1)[(2x+1)-3(2-x)+1]
S(x)=(2x-1)(2x+1-6+3x+1)
S(x)=(2x-1)(5x-4)