https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/v/factor-completely-common-factor 2022-09-10T01:04:29.754011735Z Factoring completely with a common factor We can factor quadratics by first pulling out a common factor so the result looks like a(x+b)(x+c). Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/e369c3aa-6d22-4301-a1d5-01e216df7153_1280_720_base.png Factoring completely with a common factor We can factor quadratics by first pulling out a common factor so the result looks like a(x+b)(x+c). https://cdn.kastatic.org/ka-youtube-converted/FoTD41xzF5Q.mp4/FoTD41xzF5Q.mp4 240 Solving expressions by Factorization https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/a/factoring-simple-quadratics-review 2021-06-30T17:32:39Z Factoring simple quadratics review Factoring quadratics is very similar to multiplying binomials, just going the other way. For example, x^2+3x+2 factors to (x+1)(x+2) because (x+1)(x+2) multiplies to x^2+3x+2. This article reviews the basics of how to factor quadratics into the product of two binomials. article https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/e/factor-quadratics-common-factor 2023-12-12T00:32:03.629852833Z Factoring quadratics with a common factor Practice factoring quadratics by first pulling out a common factor so the result looks like a(x+b)(x+c). Jeff Dodds exercise 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 Solving expressions by Factorization https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/e/factoring-perfect-squares 2025-02-18T07:52:09.551150445Z Perfect squares Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)². Tomer Gal exercise https://www.khanacademy.org/math/algebra-home/alg-polynomials/alg-factoring-polynomials-3-special-product-forms/v/u09-l2-t1-we3-factoring-special-products-3 2020-11-06T18:53:42Z Factoring difference of squares: two variables (example 2) Sal factors 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). Sal Khan video https://cdn.kastatic.org/googleusercontent/iiaUunMtXH_5mZ2oedxULwbpZobbGgylVuUWPwmw2JxNJeT7E7yHSp3SiZ0HFbmE3eHok3IlJj0tTSL1dPpWH_Js Factoring difference of squares: two variables (example 2) Sal factors 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). https://cdn.kastatic.org/ka-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.mp4 150 Solving expressions by Factorization 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 Solving expressions by Factorization https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/v/factoring-polynomials-1 2021-06-30T17:32:38Z Factoring quadratics as (x+a)(x+b) (example 2) Sal factors x^2-14x+40 as (x-4)(x-10) and x^2-x-12 as (x+3)(x-4). Sal Khan video https://cdn.kastatic.org/googleusercontent/hDf2C8KEnro0EoyPkY-KoGVoUhyBF99uFQQ9YtHKysIYhi-7-wNY91zjnOeRnx0qlxQiAw1UWg9tSkuOWYhXtZI Factoring quadratics as (x+a)(x+b) (example 2) Sal factors x^2-14x+40 as (x-4)(x-10) and x^2-x-12 as (x+3)(x-4). https://cdn.kastatic.org/ka-youtube-converted/1kfq0aR3ASs.mp4/1kfq0aR3ASs.mp4 260 Solving expressions by Factorization 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 Solving expressions by Factorization https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/e/factoring_polynomials_1 2025-02-18T07:52:09.551150445Z Factoring quadratics intro Factor quadratics of the form x²+bx+c. Tomer Gal exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-factor/x2ec2f6f830c9fb89:factor-high-deg/v/factoring-perfect-square-polynomial 2023-08-25T18:09:57.81238225Z Factoring higher-degree polynomials: Common factor Discover the art of factoring higher degree polynomials. We start by pulling out common factors, then spot perfect squares. The key is seeing patterns and using them to simplify complex expressions. Sal demonstrates by factoring 16x^3+24x^2+9x as (x)(4x+3)^2. video https://cdn.kastatic.org/ka_thumbnails_cache/f901f348-de89-4c8f-87d9-c023e944a754_1280_720_base.png Factoring higher-degree polynomials: Common factor Discover the art of factoring higher degree polynomials. We start by pulling out common factors, then spot perfect squares. The key is seeing patterns and using them to simplify complex expressions. Sal demonstrates by factoring 16x^3+24x^2+9x as (x)(4x+3)^2. https://cdn.kastatic.org/ka-youtube-converted/BFW2lHobO4E.mp4/BFW2lHobO4E.mp4 219 Solving expressions by Factorization https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-grouping/v/factoring-trinomials-by-grouping-4 2021-05-05T14:53:24Z Factoring quadratics by grouping Sal factors 4y^2+4y-15 as (2y-3)(2y+5) by grouping. Sal Khan video https://cdn.kastatic.org/googleusercontent/ImAP6je-1KXTIDSQxV9KkgiOXQgOpUEQzxpOfzjAqEntLR2NLAuceRxPEmltC6-uBguAN6DHWitvf5ofqSM_AOML Factoring quadratics by grouping Sal factors 4y^2+4y-15 as (2y-3)(2y+5) by grouping. https://cdn.kastatic.org/ka-youtube-converted/u1SAo2GiX8A.mp4/u1SAo2GiX8A.mp4 235 Solving expressions by Factorization 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