When do polynomials eventually differentiate to zero? – math.stackexchange.com

When do polynomials eventually differentiate to zero? – math.stackexchange.com

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Suppose I have a generic polynomial: $$f(x)=a_nx^n+a_{n-1}x^{n-1}+\dots+a_2x^2+a_1x+a_0$$ If I continually differentiate $f(x)$, when will it end up as $f^{(z)}(x)=0$? For example, given ...

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