The Rule of Ruffini, named after the Italian mathematician Paolo Ruffini, is a mathematical technique used in polynomial division. It is a method for dividing a polynomial by a linear factor (x – c).
The rule involves setting up a synthetic division tableau and using coefficients of the polynomial to determine the quotient and remainder efficiently.
This simplifies polynomial division, particularly when dealing with linear factors. The Rule of Ruffini is a practical tool in algebraic manipulation, providing a systematic approach to dividing polynomials and factoring expressions.
