A NOTE ON INTEGER ROOTS OF POLYNOMIALS WITH INTEGER COEFFICIENTS.

The article presents an exercise in solving problems related to integer roots of polynomials with integer coefficients for mathematical and computer science students. It describes the necessary conditions for an integer to a root of a polynomial with coefficients. Examples which illustrate how the integer root can be replaced with possible polynomials roots are provided. Solutions to the sum of coefficients with signs alternating beginning with the constant term are included. It states that the examples could supplement the Rational Roots Theorem for large class of polynomials.