Write all of the potential roots of: p(x) = x^4 − 9x^2 − 4x + 12

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.