Question

Se considera f:R->R, f(x)=x²-3x+2. Sa se calculeze f(0)*f(1)*......*f(2009).

Answer 1

Δ=9-8=1 => x1=2 si x2=1 sunt radacinile ecuatiei $x^{2} -3x+2=0$
Pentru ca f(1)=f(2)=0 => Produsul f(0)*f(1)*f(2)*...*f(2009)=0