https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:intro-factoring/v/factors-and-divisibility-in-algebra 2022-10-06T23:01:00.745424633Z Intro to factors & divisibility Sal explains what it means for a polynomial to be a factor of another polynomial, and what it means for a polynomial to be divisible by another polynomial. video https://cdn.kastatic.org/ka_thumbnails_cache/0d64ff9e-d887-43fc-bf98-eeba05e14964_1280_720_base.png Intro to factors & divisibility Sal explains what it means for a polynomial to be a factor of another polynomial, and what it means for a polynomial to be divisible by another polynomial. https://cdn.kastatic.org/ka-youtube-converted/SjN3_xCJamA.mp4/SjN3_xCJamA.mp4 326 Factorisation https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-introduction-to-factorization/e/factors-and-divisibility 2021-12-16T15:37:07.463764128Z Factors & divisibility Practice the relationship between products and their factors (spoiler: a product is divisible by its factors) Tomer Gal exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:intro-factoring/v/factoring-linear-binomials 2021-06-30T17:51:08Z Factoring with the distributive property Sal shows how to factor the expression 4x+18 into the expression 2(2x+9). Sal Khan video https://cdn.kastatic.org/googleusercontent/dwrwG-t6ZPrp7Fxu8lcyVSM6RZ1VwfSLBV6w8IH3fGDjIS5QRrngHxH63YvOVUiO__iCwDYg67YA50d40TjNgXI Factoring with the distributive property Sal shows how to factor the expression 4x+18 into the expression 2(2x+9). https://cdn.kastatic.org/ka-youtube-converted/mbb3msmX2xs.mp4/mbb3msmX2xs.mp4 208 Factorisation https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-polynomials-1-common-factors/v/factoring-a-common-binomial-factor 2022-10-07T01:44:59.407126867Z Factoring polynomials: common binomial factor Sal factors n(n-1)+3(n-1) as (n+3)(n-1) by noticing that (n-1) is a common factor. video https://cdn.kastatic.org/ka_thumbnails_cache/e4eae7a0-84fe-47d3-8c2c-833bc8d91ba5_1280_720_base.png Factoring polynomials: common binomial factor Sal factors n(n-1)+3(n-1) as (n+3)(n-1) by noticing that (n-1) is a common factor. https://cdn.kastatic.org/ka-youtube-converted/tDlzWNtRzS8.mp4/tDlzWNtRzS8.mp4 102 Factorisation https://www.khanacademy.org/math/uk-math-class-8/x40384ea0c3a0cfc9:factorisation-ncert-new/x40384ea0c3a0cfc9:factorisation-using-common-factors/v/factorisation-by-regrouping-of-non-quadratics 2024-12-30T08:40:49.577505307Z Factorisation by regrouping of non quadratics In this video we see how we can factorise the given expression with 4 terms, what different ways we can implement to find the factors using technique called regrouping or rearranging the terms of the expression and then finding the common factors. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Factorisation by regrouping of non quadratics In this video we see how we can factorise the given expression with 4 terms, what different ways we can implement to find the factors using technique called regrouping or rearranging the terms of the expression and then finding the common factors. https://cdn.kastatic.org/ka-youtube-converted/5mAmN7PeB5s.mp4/5mAmN7PeB5s.mp4 630 Factorisation 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 Factorisation https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:factorisation-odia-class-8/x97648b3e69d960e3:factors-of-the-form-x-a-x-b-odia-class-8/e/identify-and-factorise-into-xa-xb 2025-01-14T10:14:38.846732493Z Identify and factorise into (x±a)(x±b) Identify and factorise into (x±a)(x±b) Satya Swaroop exercise https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/v/factoring-quadratic-expressions 2021-06-30T17:32:40Z More examples of factoring quadratics as (x+a)(x+b) Can't get enough of Sal factoring simple quadratics? Here's a handful of examples just for you! Sal Khan video https://cdn.kastatic.org/googleusercontent/jes3qWMgnpoQTzMnk6gBG4LPGvEkBuNZ_51RvA8AztJSOEIHpzxj3ldk8K6VXFIwjoNETD8E7TCU_iXiI2VrdUg More examples of factoring quadratics as (x+a)(x+b) Can't get enough of Sal factoring simple quadratics? Here's a handful of examples just for you! https://cdn.kastatic.org/ka-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.mp4 990 Factorisation https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-grouping/e/factoring_polynomials_by_grouping_1 2025-02-13T04:57:25.728250847Z Factor quadratics by grouping Factor quadratics of the form ax²+bx+c. Tomer Gal exercise 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/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/v/identifying-perfect-square-trinomials 2022-10-06T23:01:00.745424633Z Identifying perfect square form Sal shows how we can identify that a trinomial has the "perfect square" form. video https://cdn.kastatic.org/ka_thumbnails_cache/047b2592-ee51-42a7-99ce-80bf83c0ec6d_1280_720_base.png Identifying perfect square form Sal shows how we can identify that a trinomial has the "perfect square" form. https://cdn.kastatic.org/ka-youtube-converted/4STGvuoBi5U.mp4/4STGvuoBi5U.mp4 277 Factorisation https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:factorisation-odia-class-8/x97648b3e69d960e3:factorisation-using-different-identities-odia-class-8/e/factorising-quadratics-into-perfect-squares 2025-01-15T06:12:10.649342546Z Factorising quadratics into perfect squares Factoring quadratics into (a+b)^2 and (a-b)^2 Satya Swaroop exercise 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/grade-8-math-snc-aligned/x4383bdbca3d6abf7:algebraic-expansion-and-factorization/x4383bdbca3d6abf7:factorization-using-algebraic-identities/e/factorisation-of-difference-of-square 2025-01-15T06:12:10.649342546Z Factorisation of difference of square Factoring quadratics using a^2-b^2=(a+b)(a-b) Satya Swaroop exercise https://www.khanacademy.org/math/class-8-od/x97648b3e69d960e3:factorisation-odia-class-8/x97648b3e69d960e3:factorisation-using-different-identities-odia-class-8/v/factorisation-using-a-b-c-2-identity 2025-07-22T07:33:28.912992725Z Factorisation using (a+b+c)^2 identity Unlock the power of algebraic identities to factorize complex expressions with ease! This video builds on what you know about (a+b)^2 and introduces the trinomial identity (a+b+c)^2 and its variations. Learn a clear, step-by-step method to identify these patterns and apply them to solve challenging factorization problems. Perfect for strengthening your algebra skills! 🚀 Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Factorisation using (a+b+c)^2 identity Unlock the power of algebraic identities to factorize complex expressions with ease! This video builds on what you know about (a+b)^2 and introduces the trinomial identity (a+b+c)^2 and its variations. Learn a clear, step-by-step method to identify these patterns and apply them to solve challenging factorization problems. Perfect for strengthening your algebra skills! 🚀 https://cdn.kastatic.org/ka-youtube-converted/hMD365azNok.mp4/hMD365azNok.mp4 550 Factorisation