https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:reducing-rational-expressions-to-lowest-terms/a/intro-to-rational-expressions 2023-07-18T22:48:45.033562364Z Intro to rational expressions Learn what rational expressions are and about the values for which they are undefined. article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:reducing-rational-expressions-to-lowest-terms/v/simplifying-rational-expressions-introduction 2026-05-25T05:01:14.503615821Z Reducing rational expressions to lowest terms Learn how to simplify rational expressions, which are fractions with variable expressions in the numerator and denominator. This video also shows how to factor the expressions and cancel out common factors, just like with rational numbers. Don't forget to exclude values of x that would make the denominator zero, since those would make the expression undefined. Sal Khan video https://cdn.kastatic.org/googleusercontent/7_xnrQPhEysk9lgK10Vd9NIDtcPwUbz5gMfct17TDukM34SFLdyc20hgX0MJJoAO9Y5D6Kanqh5e9IYKqyfVPng Reducing rational expressions to lowest terms Learn how to simplify rational expressions, which are fractions with variable expressions in the numerator and denominator. This video also shows how to factor the expressions and cancel out common factors, just like with rational numbers. Don't forget to exclude values of x that would make the denominator zero, since those would make the expression undefined. https://cdn.kastatic.org/ka-youtube-converted/7Uos1ED3KHI.mp4/7Uos1ED3KHI.mp4 922 Simplifying Rational Expressions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:reducing-rational-expressions-to-lowest-terms/e/simplifying_rational_expressions_2 2024-02-19T03:57:27.509159735Z Reduce rational expressions to lowest terms Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. Tomer Gal exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:rational-functions/x9e81a4f98389efdf:reducing-rational-expressions-to-lowest-terms/e/simplifying_rational_expressions_1 2021-07-29T20:12:07.191455011Z Reduce rational expressions to lowest terms: Error analysis Analyze other people's attempts to reduce rational expressions to lowest terms, and identify the mistake they made. Tomer Gal exercise https://www.khanacademy.org/math/math3/x5549cc1686316ba5:rationals/x5549cc1686316ba5:common-factors/v/simplifying-rational-expressions-w-higher-degree-terms 2022-10-07T01:44:59.407126867Z Simplifying rational expressions: higher degree terms Sal simplifies & states the domain of (x⁴+8x²+7)/(3x⁵-3x). video https://cdn.kastatic.org/ka_thumbnails_cache/030a1b73-c219-44d5-9172-2c9ead7112cd_1280_720_base.png Simplifying rational expressions: higher degree terms Sal simplifies & states the domain of (x⁴+8x²+7)/(3x⁵-3x). https://cdn.kastatic.org/ka-youtube-converted/yPZ7In2tdOQ.mp4/yPZ7In2tdOQ.mp4 353 Simplifying Rational Expressions 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 Simplifying Rational Expressions https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:poly-div-by-x/e/poly-by-x-no-remainders 2021-07-19T21:05:46.382456182Z Divide polynomials by x (no remainders) Divide polynomials by x, where the polynomial is divisible by x, so the result is also a polynomial (no remainder). Tomer Gal exercise https://www.khanacademy.org/math/ncert-math-class-9-new/x56891bfac37feca0:exploring-algebraic-identities/x56891bfac37feca0:simplifying-rational-expressions/e/polynomial-by-a-polynomial-without-long-division 2026-03-22T06:53:37.482695608Z Polynomial by a polynomial(without long division) In this exercise, we will learn about how to divide an Expression by the other Expression(Without long division). Khan Academy exercise