In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that, for every number r, any polynomial f(x) is the sum of f(r) and the product by {\displaystyle x-r} of a polynomial in x of degree less than the degree of f.
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In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that, for every number r, any polynomial f(x) is the sum of f(r) and the product by {\displaystyle x-r} of a polynomial in x of degree less than the degree of f.