Odd Equations - Numberphile


Publisher, Numberphile, Video, YouTube

If the highest power of a function or polynomial is odd (e.g.: x^3 or x^5 or x^4371) then it definitely has a solution (or root) among the real numbers. Here's a nice proof demonstrated by Prof David Eisenbud from the Mathematical Sciences Research Institute.

13 July 2014 Edit: 19 December 2017

Content Type:
NSW Mathematics Extension 1 Stage 6 Syllabus
FunctionsME-F2 PolynomialsME-F2.1 Remainder and factor theorems

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