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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 1, 2021
 #1
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f(x) = 8x^5 - 12x^4 + 16x^3.

 Feb 2, 2021

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