Check out the rational zero theorem here:
3.3 - Real Zeros of Polynomial Functions
Find all the zeros of the function and write the polynomial as a product of linear factors.
g(x) = x^5 - 8x^4 + 28x^3 - 56x^2 + 64 - 32
So this looks extremely confusing, but I think that I have to use synthetic division. I'm not sure though. Can you help me please?