Question: Given the polynomial f(x) = x2(x - 7)2(x - 18)(x + 4)3 Find the zeros of the expression, and their multiplicities At each zero, determine

  1. Given the polynomial

f(x) = x2(x - 7)2(x - 18)(x + 4)3

  1. Find the zeros of the expression, and their multiplicities
  2. At each zero, determine whether the graph crosses the x-axis, or merely touches the x-axis and
  3. bounces off
  4. Find the maximum number of turning points
  5. Find the power function, and use it to characterize the function's end behavior

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