2. For the given polynomial f(x), determine all zeros of f(x). Show all steps for solving and explain in written words. 35 points for) = x" + 3x5 + x4 +1 1x3 + 24x2 + 8x + 24 and the following facts hold true for f(x): 0 A zero of for) is x = i . The point (-2, 0) is a point on the graph of for) . f(-3) = 0 Non-Calculator. This means all work must be shown and explained without use of graphing applications. it3 +3x2 +2x 1. Givenfx = ( ) x2+x2 , complete the following: a. Write the rational expression in lowest terms. leaving it in factored form. (6 points) b. Write the domain in interval notation. (6 points) c. Determine all zeros of the function. (6 points) d. Determine the equations of any asymptotes and the location of any holes in the graph. (6 points) e. Draw a sketch of the graph using graph paper. (6 points)