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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) + 1 is divisible by (x+1)(x+2)(x+3).

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

 Apr 16, 2023
 #1
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f(x) = x^5 + 10x^4 - 18x^3

 Apr 16, 2023

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