I didn't know this. Could you possibly link the theorem and its proof, if it's available somewhere online?
Maybe it's obvious but I don't see it.
And thank you so much, again!
sorry, i meant 3 not "odd". i don't know why i wrote odd?? well, there are only two ways to factorize a polynomial of degree 3: all factors of degree 1 or one degree 1 and one degree 2.
so either way, there will be a factor of degree 1 and therefore a root.