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Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold:  $\bullet$ $f(x)$ is divisible by $x^3$.  $\bullet$ $f(x)+2$ is divisible by $(x+1)^3$.

 

A guest answered this question the last time I posted it, but it was wrong so somebody other than a guest answer please.

 Jul 27, 2020
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Everyone makes mistakes sometimes and it's OK. We all learn from it :)

 

However, I found the link to your question (asked by someone else) with a pretty good explaination:

 

https://web2.0calc.com/questions/find-a-polynomial-f-x-of-degree-5-such-that-both

 

 

Hope this helped!

Caffeine :)

 Jul 27, 2020

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