@benny.math: Ruffini's method turns polynomial division into something you can do in your head, once you see the pattern. Take x^3 - 6x^2 + 11x - 6, and divide it by (x - 2). Instead of long division with x's everywhere, Ruffini's trick works with just the coefficients and the root. Write the root (2) on the side, and the coefficients (1, -6, 11, -6) in a row. Bring down the first number as is. Then repeat this loop: multiply the number you just brought down by the root, add it to the next coefficient, and bring that result down too. Multiply, add, bring down — over and over — until you've used every coefficient. The last number you get is your remainder (here, 0, meaning it divides evenly), and everything before it becomes the coefficients of your answer: x^2 - 4x + 3. Once the loop clicks, you'll never do polynomial long division the slow way again. Save this one, and follow for more math shortcuts that actually make sense. #math #maths #algebra #mathematics #bennymath

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Tuesday 22 September 2026 14:51:41 GMT