Question

f:R->R , f (x) = x^2-3x+2 .Calculati f (0) ×f (1) ......f (2015)

Answer 1

$f:\mathbb_{R}\rightarrow \mathbb_{R},\quad f(x) = x^2-3x+2 \\ \\ x^2-3x+2 = x^2-x-2x-2 = x(x-1)-2(x-1) = (x-1)(x-2) \\ \Rightarrow x_1 = 1, \quad x_2 = 2\\ \\ f (0) \times f (1) \times ... \times f (2015) = f(0)\times 0\times0\times f(3)\times ...\times f(2015) = 0$

Answer 2

f(1)=1-3+2=0
pt ca cel putin un factor este 0,  tot produsul este 0
as simple as that!!!