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
\(Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)$ is divisible by $x^3$. $\bullet$ $f(x)+2$ is divisible by $(x+1)^3$\)
I believe this question is one heureka already solved, the link is
https://web2.0calc.com/questions/find-a-polynomial-f-x-of-degree-5-such-that-both
Yay!