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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 \((x+1)^3\).

 Feb 11, 2021
 #1
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f(x) = 3x^5 - 9x^4 + 6x^3.

 Feb 11, 2021

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