How do I find all the rational zeros of a function like #f(x)=x^3-7x-6#?
An easy way to find the zeroes of a function like that would be to plug it into your TI-83 or 84 calculator and use the 2nd -> Calc -> Zero function.
This video shows you how to do that:
If your teacher does not want decimals in your answer, then you need to do it the long, hard way, which involves polynomial division and stuff.
This video covers how you can do it:
In case you forgot how to do polynomial division:
Hope that helps!