https://www.khanacademy.org/math/uk-math-class-8/x40384ea0c3a0cfc9:factorisation-ncert-new/x40384ea0c3a0cfc9:untitled-405/v/intro-to-factors-divisibility-indian-accent 2025-06-09T09:58:43.937294419Z 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. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/s4dHkxMtyj8.mp4/s4dHkxMtyj8.mp4 326 Factorisation https://www.khanacademy.org/math/revision-mr-class-7-term-2/x34b615b2e8bb343d:week-3-revision-mr-class-7-term-2-math/x34b615b2e8bb343d:factorisation-using-common-factors-revision-mr-class-7-term-2-math/v/greatest-common-factor-of-monomials-indian-accent 2025-06-06T15:33:38.563209632Z 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. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/2XsnBRKeQWs.mp4/2XsnBRKeQWs.mp4 194 Factorisation https://www.khanacademy.org/math/up-class-8-bridge/x3d6b46e0b948ed46:polynomials/x3d6b46e0b948ed46:factorisation-using-common-factors/v/taking-common-factor-from-binomial-indian-accent 2025-06-06T15:33:38.563209632Z 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 Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/6b3DuoOYDMU.mp4/6b3DuoOYDMU.mp4 298 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/revision-mr-class-7-term-2/x34b615b2e8bb343d:week-3-revision-mr-class-7-term-2-math/x34b615b2e8bb343d:factorisation-using-identities-revision-mr-class-7-term-2-math/v/difference-of-squares-intro-indian-accent 2025-06-06T15:33:38.563209632Z 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). Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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/pVH_36ApmTA.mp4/pVH_36ApmTA.mp4 294 Factorisation https://www.khanacademy.org/math/uk-math-class-8/x40384ea0c3a0cfc9:factorisation-ncert-new/x40384ea0c3a0cfc9:factors-of-the-form-x-a-x-b/v/more-examples-of-factoring-quadratics-as-xaxb-indian-accent 2025-06-09T09:58:43.937294419Z 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! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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! Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/SKHiKg5Rrxo.mp4/SKHiKg5Rrxo.mp4 990 Factorisation 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 Factorisation https://www.khanacademy.org/math/uk-math-class-8/x40384ea0c3a0cfc9:factorisation-ncert-new/x40384ea0c3a0cfc9:dividing-polynomials-by-monomials/v/divide-polynomials-by-x-with-remainders-indian-accent 2025-06-09T09:58:43.937294419Z 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. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 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. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/zEsVO8xLup8.mp4/zEsVO8xLup8.mp4 284 Factorisation 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 Factorisation https://www.khanacademy.org/math/revision-tg-math-class-8/x9ce0e841a99d4a8a:week-3/x9ce0e841a99d4a8a:factorisation/e/revision-factorisation-tg-class-8 2026-02-18T21:20:35.275198076Z Revision factorisation TG class 8 . Khan Academy exercise