https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-practice-dividing-polynomials-with-remainders/v/dividing-polynomials-with-remainders 2021-06-02T12:43:22Z Dividing polynomials with remainders Sal divides (x^3+5x-4) by (x^2-x+1) using long division. Sal Khan video https://cdn.kastatic.org/googleusercontent/71hcTiuCvgjHRf_SgNcvQPuCtSHjI5-NLJc3gQKy5h_Kt9zt3sExS3QO0ptJiKviKecO8YY-5HXhr2xrlgrI8uM Dividing polynomials with remainders Sal divides (x^3+5x-4) by (x^2-x+1) using long division. https://cdn.kastatic.org/ka-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.mp4 383 Dividing polynomial https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-linear/e/divide-polynomials-by-binomials 2025-12-30T07:05:15.972746521Z Divide polynomials by linear expressions Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a linear binomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b. Sid Patel exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:remainder-theorem/v/polynomial-remainder-theorem 2023-10-20T17:36:47.087596279Z Intro to the Polynomial Remainder Theorem The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily. It tells us the remainder when a polynomial is divided by \[x - a\] is \[f(a)\]. This means if \[x - a\] is a factor of the polynomial, the remainder is zero. It's a neat trick to quickly find remainders without doing long division! video https://cdn.kastatic.org/googleusercontent/A7Mn0-RlnewSTPhArUUEQdaveGrH5a8EdaO7Ns_HHm-WbeGRBt0rbt897PMxuhOGR1V53CjTKN_FYZ8gwjaNjOtI Intro to the Polynomial Remainder Theorem The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily. It tells us the remainder when a polynomial is divided by \[x - a\] is \[f(a)\]. This means if \[x - a\] is a factor of the polynomial, the remainder is zero. It's a neat trick to quickly find remainders without doing long division! https://cdn.kastatic.org/ka-youtube-converted/MwG6QD352yc.mp4/MwG6QD352yc.mp4 403 Dividing polynomial https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:remainder-theorem/v/polynomial-remainder-theorem-example 2023-10-20T17:36:47.087596279Z Remainder theorem: finding remainder from equation The Polynomial Remainder Theorem simplifies the process of finding the remainder when dividing a polynomial by \[x - a\]. Instead of long division, you just evaluate the polynomial at \[a\]. This method saves time and space, making polynomial division more manageable. video https://cdn.kastatic.org/googleusercontent/quZZGnzpBRbxjk-FjgLDG1Kq-emvRZmMZuMsU5BFMnUCrg_ioQCgDNFHrCJF0zHoL1jCQ6n_Pd2szCh_rb0UNuA Remainder theorem: finding remainder from equation The Polynomial Remainder Theorem simplifies the process of finding the remainder when dividing a polynomial by \[x - a\]. Instead of long division, you just evaluate the polynomial at \[a\]. This method saves time and space, making polynomial division more manageable. https://cdn.kastatic.org/ka-youtube-converted/MHtTP6vc4RU.mp4/MHtTP6vc4RU.mp4 212 Dividing polynomial https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:remainder-theorem/e/remainder-theorem-of-polynomials 2025-02-27T11:46:16.621461116Z Remainder theorem Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. Tomer Gal exercise