Given statement: A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.
In the synthetic division, if a polynomial p(x) completely divided by a number c (remainder is 0), then (x-c) is a factor of f(x) and c is a root of the polynomial p(x).
It means only remainder of 0 in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.
