What are all the possible rational zeros for #f(x)=x^3-9x^2+15x-2# and how do you find all zeros?
The rational root theorem tells us that all the possible rational zeroes will be
In this case, we get:
If we plug these into our equation we see that
To find the remaining zeroes, we can divide by
This means that we can factor like so:
Since we already know
We can solve this by completing the square: