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Consider an arbitrary polynomial <math>p \in \mathbb{R}[x]</math> of [[Degree of a polynomial|degree]] <math>n</math>. Assume that <math>n \geq 3</math>. Define <math>m</math> such that: if <math>n</math> is odd then <math>n = 2m+1</math>, and if <math>n</math> is even then <math>n = 2m+2</math>.<ref name="eve1964"/>
Unless otherwise stated, all variables in this article represent either [[real number]]s or univariate [[polynomial]]s with real coefficients.<ref name="knuth1962"/><ref name="eve1964"/> All operations in this article are done over <math>\mathbb{R}</math>.<ref name="eve1964"/>
Again, the goal is to create an algorithm that returns <math>p(x)</math> given any <math>x</math>. The algorithm is allowed to depend on the polynomial <math>p</math> itself.<ref name="knuth1962"/>
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