Question: 1. Given f ( x )=( x 3+3 x 2+2 x)/(x 2+ x 2), complete the following: Writetherationalexpressioninlowestterms,leavingitinfactoredform. (6 points) Write the domain in interval

1. Givenf(x)=(x3+3x2+2x)/(x2+x2), complete the following:

  1. Writetherationalexpressioninlowestterms,leavingitinfactoredform. (6 points)
  2. Write the domain in interval notation. (6 points)
  3. Determine all zeros of the function. (6 points)
  4. Determine the equations of any asymptotes and the location of any holes in the graph. (6 points)
  5. Draw a sketch of the graph using graph paper. (6 points)

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