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Corollary: Real Polynomials of Odd Degree Have at Least One Real Root
(related to Proposition: Limits of Polynomials at Infinity)
Let $p:\mathbb R\to\mathbb R$ be a real polynomial with an odd degree $n$, i.e. $$p(x):=a_nx^n + \ldots + a_1x + a_0.$$ Then there are is at least one real number $x$ such that $p(x)=0.$
Table of Contents
Proofs: 1
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983