2. For the given polynomial {(x), determine all zeros of f(x). Show all steps for solving and explain in written words. 35 points f(x) = x" + 3x5 + x\" +1 1x3 + 24x2 + 8x + 24 and the following facts hold true for f(x): . A zero of x) is x = i . The point (-2. 0) is a point on the graph of for) . f(-3) = 0 3. For the polynomial g(x) = x4 8x3 + 23x2 26;: + 10, you are told that the zeros include x = 1, x = -3 + i, and x = 3 + i. Explain how you know this list is incorrect. Then you are told that two of the given zeros are correct, with one of them having a multiplicity of 2. Use this information to detelmine all zeros of g(x). Be sure to show and explain all steps. 35 points