Question

f:R->R , f(x) = x la puterea a2a -3x + 2
f(0)•f(1)•...•f(2015)

Answer 1

f(x)=0;
x²-3x+2=0
x²-2x-x+2=0
(x²-2x)-(x-2)=0
x(x-2)-(x-2)=0
(x-1)(x-2)=0
x=1 sau x=2
deci f(1)=0 si f(2)=0
Un produs care il are pe 0 printre factori este egal cu 0.
f(0)*0*0*f(3)*f(4)*...*f(2015)=0