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Ruffini's rule

Ruffini’s rule is a method that simplifies the operations in a division whose divisor is x – a.
To do it, we put the coefficients of the dividend in a row and multiply the first coefficient by a and we add it to the next, and so on.

For example, if we divide    x3 -3x2 + x + 2 by x – 3: 

quotient is x2 + 1 and the remainder is 5



or  x4 – 16 by x + 2:

     quotient is x3 – 2x2 +4x – 8 and the remainder is 0