- #1

- 17

- 0

## Homework Statement

f(x)=x

^{3}-3x

^{2}-6x+8

## Homework Equations

p/q=+-(1,2,4,8)

f(0)=8

## 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?