1) List the possible factors for h(x) = 4x^4-5x^3+2x^2-x+5
2) divide, using synthetic division: 16x^3+80x^2+x+5/x+5
3) use descartes' rule of signs to describe the roots of h(x) = 4x^4-5x^3+2x^2-x+5
4) Determine the equations of the asymptotes: g(x) = 2x^2+1/x+3