The polynomial question g(x) = x3- 6x² + 49x - 294 has a real root at (6,0).

a) Use polynomial division to write g(x) in completely factored form *SHOW ALL WORK*

You dive directly upward from a board that is 32 feet high. After t seconds, your height above the water is described by the polynomial -16t^2 + 16t + 32. Factor the polynomial completely. Evaluate both the original polynomial and its factored form for t = 2. Do you get the same answer for each evaluation? Describe what this answer means.