https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/v/polynomial-division-intro 2022-10-06T23:23:50.639907812Z Polynomial division introduction When we divide the polynomial p(x) by q(x) we are basically asking "what should we multiply by q(x) to get p(x)?" If this sounds familiar, it's because it's very similar to dividing numbers! In this introduction we see how some quotients end up as a polynomial, while other times we have a remainder and cannot express the quotient as a polynomial. This is very similar to quotients of integers! video https://cdn.kastatic.org/googleusercontent/PWFXHznYysN2Z42HJUuxUik6nf6wZzr3yXzfJo0cxHURxjrlLn77gPL3PdHbQQBpVsMWvhYuiXkgn_pu51KmqbCc Polynomial division introduction When we divide the polynomial p(x) by q(x) we are basically asking "what should we multiply by q(x) to get p(x)?" If this sounds familiar, it's because it's very similar to dividing numbers! In this introduction we see how some quotients end up as a polynomial, while other times we have a remainder and cannot express the quotient as a polynomial. This is very similar to quotients of integers! https://cdn.kastatic.org/ka-youtube-converted/3eowXt_LNbg.mp4/3eowXt_LNbg.mp4 327 Dividing polynomials by x https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/v/dividing-polynomials-by-x 2023-09-22T17:55:38.713124768Z Dividing polynomials by x (no remainders) Discover how to divide polynomials by 'x' in two different ways. Finding the quotient (x⁴-2x³+5x)/x is the same as asking "what should we multiply by x to get x⁴-2x³+5x?" First, we distribute '1/x' to each term in the polynomial. Second, we factor out an 'x' from each term. Both methods simplify complex expressions, video https://cdn.kastatic.org/ka_thumbnails_cache/20bca57e-7ef1-47b0-b6fd-43122400ad95_1280_720_base.png Dividing polynomials by x (no remainders) Discover how to divide polynomials by 'x' in two different ways. Finding the quotient (x⁴-2x³+5x)/x is the same as asking "what should we multiply by x to get x⁴-2x³+5x?" First, we distribute '1/x' to each term in the polynomial. Second, we factor out an 'x' from each term. Both methods simplify complex expressions, https://cdn.kastatic.org/ka-youtube-converted/HUdA6LdCRk8.mp4/HUdA6LdCRk8.mp4 269 Dividing polynomials by x https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/e/poly-by-x-no-remainders 2021-07-19T21:05:46.382456182Z Divide polynomials by x (no remainders) Divide polynomials by x, where the polynomial is divisible by x, so the result is also a polynomial (no remainder). Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/v/polynomial-divided-by-monomial 2023-09-22T17:55:38.713124768Z Divide polynomials by x (with remainders) Learn how to simplify complex expressions by dividing polynomials by 'x'. Discover how to break down the numerator, distribute the division, and use exponent properties. Master the art of simplifying fractions and handling negative exponents. Sal demonstrates by dividing (18x^4-3x^2+6x-4) by 6x. Sal Khan video https://cdn.kastatic.org/googleusercontent/FcLH3B5W9yl5YpqzmJuJYeSl4Ar6aDjlIPhcJz4MhXIA4zm4A9XipjBDkurBQgJE2FKFZk0QW9QFmnm51LhEx3lB Divide polynomials by x (with remainders) Learn how to simplify complex expressions by dividing polynomials by 'x'. Discover how to break down the numerator, distribute the division, and use exponent properties. Master the art of simplifying fractions and handling negative exponents. Sal demonstrates by dividing (18x^4-3x^2+6x-4) by 6x. https://cdn.kastatic.org/ka-youtube-converted/UquFdMg6Z_U.mp4/UquFdMg6Z_U.mp4 285 Dividing polynomials by x https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/e/poly-by-x-remainders 2021-08-12T16:00:39.880213098Z Divide polynomials by x (with remainders) Divide polynomials by x, where the polynomial isn't divisible by x, so the result has a remainder. Tomer Gal exercise