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Find a polynomial 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)).

 Apr 16, 2022
 #1
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Does such a polynomial exist?

 Apr 16, 2022
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I think there is a polynomial that meets these two requirements.

Neerv  Apr 16, 2022
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Yes, the polynomial exists:

 Apr 16, 2022
 #4
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Thank you so much Alan!

Neerv  Apr 16, 2022
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Thanks for showig us Alan,

I tried to do somthing similar using matrices but got in a big mess.

I didn't think of the obvious things.  :(

Melody  Apr 18, 2022

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