The document discusses methods for finding rational zeros of polynomials. It states that the zeros of a polynomial are the x-values where the graph touches the x-axis, meaning f(k) = 0. It introduces the Rational Zero Theorem, which says that if a polynomial has integer coefficients, its rational zeros must be of the form p/q where p is a factor of the constant term and q is a factor of the leading term. The document instructs the reader to use this theorem to make a list of possible rational zeros, and then use synthetic division to test if each possible zero actually satisfies the polynomial.