2. For the given polynomial f(x), determine all zeros of f(x). Show all steps for solving...

 

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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 f(x) = x + 3x + x +11x +24x +8x+24 and the following facts hold true for f(x): A zero of f(x) is x = i The point (-2, 0) is a point on the graph of f(x) f(-3) = 0 3. For the polynomial g(x) = x4 -8x + 23x - 26x + 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 determine all zeros of g(x). Be sure to show and explain all steps. 35 points 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 f(x) = x + 3x + x +11x +24x +8x+24 and the following facts hold true for f(x): A zero of f(x) is x = i The point (-2, 0) is a point on the graph of f(x) f(-3) = 0 3. For the polynomial g(x) = x4 -8x + 23x - 26x + 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 determine all zeros of g(x). Be sure to show and explain all steps. 35 points