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Learn the definition, proof and applications of the polynomial remainder theorem, which states that a polynomial is the sum of a polynomial and the product by a polynomial of lower degree. See examples, formulas and references for this algebraic concept.
Ruffini's rule is a method for dividing a polynomial by a binomial of the form x – r. It can be used for polynomial factorization and was invented by Paolo Ruffini in 1809.
Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division. It can be used for division by linear or non-linear monic polynomials, and has various forms and applications in algebra.
Learn how to divide a polynomial by another polynomial using an algorithm similar to long division in arithmetic. See examples, applications, and methods such as synthetic division and polynomial short division.
Learn about the history, statement, proof and applications of the Chinese remainder theorem, a mathematical result that relates congruences modulo pairwise coprime integers. The article also covers the generalization of the theorem to rings and combinatorics.
A remainder is the amount "left over" after dividing one number by another, or after subtracting one number from another. Learn how to calculate remainders for integers, floating-point numbers, and polynomials, and see different conventions in programming languages.
Create account; Log in; Personal tools. Create account; Log in; Pages for logged out editors learn more. ... Remainder theorem may refer to: Polynomial remainder theorem;
This web page provides a comprehensive overview of various mathematical problems that have not been solved yet, ranging from algebra to topology. It also includes lists of unsolved problems proposed by different mathematicians and organizations, such as the Millennium Prize Problems and the Clay Mathematics Institute.