How do you use synthetic division to find the zeroes of #f(x)= x^4 -3x^3-9x^2-3x-10#?
The zeroes of
According to the rational root theorem, the rational roots of
So the only possible rational roots are
We have to test all eight possibilities.
Here are the only two that work.
That means that
We can use synthetic division to find the other factor.
The other factor is
The roots of