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5a: f(x) is a 4th degree polynomial with 3 distinct roots: -1, 2, 2^(.5)i ; and...

5a: f(x) is a 4th degree polynomial with 3 distinct roots: -1, 2, 2^(.5)i ; and f(1) = 12.

      f(x) = ? Provide the answer in factored form.

  5b: Suppose you don’t know that f(1) = 12.

      What is the most general formula for f(x)?

      Leave the answer in un-factored form.

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