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Polynomial evaluation

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In mathematics and computer science, polynomial evaluation refers to computation of the value of a polynomial when its indeterminates are substituted for some values. In other words, evaluating the polynomial P ( x 1 , x 2 ) = 2 x 1 x 2 + x 1 3 + 4 {\displaystyle P(x_{1},x_{2})=2x_{1}x_{2}+x_{1}^{3}+4} at x 1 = 2 , x 2 = 3 {\displaystyle x_{1}=2,x_{2}=3} consists of computing P ( 2 , 3 ) = 2 ⋅ 2 ⋅ 3 + 2 3 + 4 = 24. {\displaystyle P(2,3)=2\cdot 2\cdot 3+2^{3}+4=24.} See also Polynomial ring § Polynomial evaluation