What is the Remainder Theorem , How to use the Remainder Theorem , How to use the remainder and factor theorem in finding the remainders of polynomial divisions and also the factors of polynomial divisions, How to factor polynomials with remainders, with video lessons, examples and step-by-step solutions. Polynomial remainder theorem In algebra, the polynomial remainder theorem or little Bézout's theorem (named after Étienne Bézout) [1] is an application of Euclidean division of polynomials. It states that, for every number , any polynomial is the sum of and the product of and a polynomial in of a degree one less than the degree of . Learn how to use the remainder theorem to divide a polynomial by a linear polynomial and find its remainder . See the proof, formula, and examples with factor theorem and zero of a polynomial.

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