1. The problem statement, all variables and given/known data f(x)=x3-3x2-6x+8 2. Relevant equations p/q=+-(1,2,4,8) f(0)=8 3. The attempt at a solution What is the fastest way to find the zeros? I have to graph it. The back of the book shows the zeros looking to be 4, -2, and most likely 1.5. I am assuming we use the rational zeros theorum to divide by factors of 8 in a trial and error fashion. After I divided by 4 synthetically I got 1,1,-2,0 which I then divided by -2 to get 1, -1, 0. What does this mean? Is there a more efficient way to do this than randomly try all the p/qs?