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Question: Using the Fundamental Theorem of Algebra, complete the following: Determine how many, what type, and find the roots for f(x) = x4 + 21x2...

Question:Using the Fundamental Theorem of Algebra, complete the following:

  1. Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.
  2. Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125



  1. Without plotting any points other than intercepts, draw a possible graph of the following polynomial: 
  2. f(x) = (x + 8)3(x + 6)2(x + 2)(x − 1)3(x − 3)4(x − 6).

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