I need to know, what is the best way to prove:
$(X-1)^4$ divides $X^{10}-2X^9+X^8-2X^6+4X^5-2X^4-X^2-2X+1$
2026-04-06 07:59:56.1775462396
Polynom divisibility
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$(x-a)^k$ is a factor of a polynomial $p(x)$ if and only if $$p(a)=p'(a)=p''(a)=\cdots =p^{(k-1)}(a)=0$$