This is a great activity!!! I used it in precalc and students completed almost all 18 problems without complaining. I did it as a competition and gave point values to the different questions.
Basically .... they are to find all possible rational zeros, then find the actual zeros of the polynomial (by looking at the graph), use synthetic division to provide the linear factorization of the polynomial, sketch the polynomial based on known zeros, end behavior (covered earlier in the chapter) and y-intercept.
this is a summary of section 2.4 in the demanna precalc book (8th edition) but in an activity form.