The document discusses finding the zeros of a polynomial function. It explains that to find the zeros, one graphs the function to identify possible zeros, then uses synthetic division to divide the polynomial into linear and quadratic factors. For the given polynomial, synthetic division could only be performed once, indicating there are three distinct real zeros at x=0, x=-3, and x=-3. However, since the quadratic formula could not be applied, this particular polynomial does not have a double zero, showing that some problems cannot be solved as initially indicated.
