【印刷可能】 p(x)=(x 1)(x-2) x=-1 2 344162-(iv) p(x) = (x + 1)(x - 2) x = - 1 2

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(iv) p(x) = (x + 1)(x - 2) x = - 1 2-First note, that the highest coefficient of p must be 1 In particular, lim x → ∞ p ( x) = ∞ Assume, that there exists a real value c such that p ( c) = 0 Then But ( c 2 1) 2 1 > c, so any real root of p would lead to another, higher root of p which is impossible SoStack Exchange network consists of 180 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack Exchange

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