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 Factorisation 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 Factorisation 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 Factorisation 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 Factorisation 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 Factorisation https://www.khanacademy.org/math/revision-ncert-class-8-math/x46f3ddd31448eca8:week-3/x46f3ddd31448eca8:factorisation-revision-ncert-class-8/e/revision-factorisation-ncert-math-class-8 2025-02-07T08:24:45.557484074Z Revision Factorisation . Aakash Bagga exercise