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Find a polynomial f(x) of degree 5 such that both of these properties hold:

  • f(x) is divisible by x^3
  • f(x)+2 is divisible by $(x+1)^3$.

Write your answer in expanded form (that is, do not factor f(x)).

 Feb 7, 2022
 #1
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f(x) = 18x^5 - 12x^4 + 30x^3.

 Apr 3, 2022

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