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 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-practice-dividing-polynomials-with-remainders/v/dividing-polynomials-with-remainders-example 2024-07-21T22:42:38.97410059Z Divide polynomials by monomials (with remainders) Sal divides (7x^6+x^3+2x+1) by x^2, and writes the solution as q(x)+r(x)/x^2, where the degree of the remainder, r(x), is less than the degree of x^2. Sal Khan video https://cdn.kastatic.org/googleusercontent/JqAiHr2i6evVVN_noTRucSTiPm6lAbmHr74-Z4nl2J0Y1eYpJOAjVxQcz8sT6NlRxFvcsns3vlf6X9OtzkQQejr0 Divide polynomials by monomials (with remainders) Sal divides (7x^6+x^3+2x+1) by x^2, and writes the solution as q(x)+r(x)/x^2, where the degree of the remainder, r(x), is less than the degree of x^2. https://cdn.kastatic.org/ka-youtube-converted/WqNc6My1aNU.mp4/WqNc6My1aNU.mp4 161 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:gcf/v/monomial-greatest-common-factor 2023-08-25T17:52:36.064226297Z Greatest common factor of monomials Follow along as Sal finds the greatest common factor of 10cd^2 and 25c^3d^2 and discover the secret to finding the greatest common factor of monomials! Dive into prime factorization and variable parts, and learn how to break down monomials into their simplest forms. Uncover the common factors and master the art of algebraic expressions. Sal Khan video https://cdn.kastatic.org/googleusercontent/4r6d7_2VH3VIi2qac5s7mzHZorir5V68IVE_z4Qx0AXMOI1ecZs2T6zoxUQ6OYes5K0nNUgQKpkr0aT7Ag-eISw Greatest common factor of monomials Follow along as Sal finds the greatest common factor of 10cd^2 and 25c^3d^2 and discover the secret to finding the greatest common factor of monomials! Dive into prime factorization and variable parts, and learn how to break down monomials into their simplest forms. Uncover the common factors and master the art of algebraic expressions. https://cdn.kastatic.org/ka-youtube-converted/_01wqwsb66E.mp4/_01wqwsb66E.mp4 193 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:common-factor/v/algebraic-factoring-by-greatest-common-monomial-factor 2023-08-25T17:52:36.064226297Z Taking common factor from binomial Explore the process of factoring polynomials using the greatest common monomial factor. This involves breaking down coefficients and powers of variables to find the largest common factor, and then rewriting the expression with this common factor factored out. It's an essential skill for simplifying and solving algebraic expressions video https://cdn.kastatic.org/ka_thumbnails_cache/7ab9a0fd-9b8f-4138-88a3-019049149f3f_1280_720_base.png Taking common factor from binomial Explore the process of factoring polynomials using the greatest common monomial factor. This involves breaking down coefficients and powers of variables to find the largest common factor, and then rewriting the expression with this common factor factored out. It's an essential skill for simplifying and solving algebraic expressions https://cdn.kastatic.org/ka-youtube-converted/iTn3TTF0IXk.mp4/iTn3TTF0IXk.mp4 298 Division and Factorisation of Algebraic Expressions 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 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-difference-squares/v/difference-of-squares-intro 2022-10-06T23:01:00.745424633Z Difference of squares intro When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). video https://cdn.kastatic.org/ka_thumbnails_cache/c52b1b59-e0b8-4b92-931b-13024c98d84f_1280_720_base.png Difference of squares intro When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). https://cdn.kastatic.org/ka-youtube-converted/HLNSouzygw0.mp4/HLNSouzygw0.mp4 294 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/v/perfect-square-factorization-intro 2022-10-06T23:01:00.745424633Z Perfect square factorization intro When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b). video https://cdn.kastatic.org/ka_thumbnails_cache/65b779ae-9d58-4d2d-ab39-c5bde1a9f75b_1280_720_base.png Perfect square factorization intro When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b). https://cdn.kastatic.org/ka-youtube-converted/JX5Zvh6swmo.mp4/JX5Zvh6swmo.mp4 319 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/v/factoring-simple-quadratic-expression 2022-10-06T23:01:00.745424633Z Factoring quadratics as (x+a)(x+b) Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b. video https://cdn.kastatic.org/ka_thumbnails_cache/4673d59c-5e5f-4b46-acfb-9b882ee3f074_1280_720_base.png Factoring quadratics as (x+a)(x+b) Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b. https://cdn.kastatic.org/ka-youtube-converted/D3a8NnpQ2vU.mp4/D3a8NnpQ2vU.mp4 394 Division and Factorisation of Algebraic Expressions https://www.khanacademy.org/math/revision-up-math-class-8/xe4edb0d90ad0a387:week-1-revision-up-math-class-8/xe4edb0d90ad0a387:division-and-factorisation-of-algebraic-expressions-revision-up-math-class-8/e/division-and-factorisation-of-algebraic-expressions-up-math-class-8 2025-01-28T11:26:50.117543146Z Division and Factorisation of Algebraic Expressions Practice problems for revision of Division and Factorisation of Algebraic Expressions. Satya Swaroop exercise