Hi The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0 f(x)=(x-4)(x+2)(x-1) (x-4)(x+2)(x-1) = 0 (x-4)= 0 x = 4 (x+2)= 0 x = -2 (x-1)= 0 x = 1 these x-values are the "Zeros" of this polynomial