Algebra

# 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 x^{3} -3x^{2} + x + 2 by x – 3:

quotient is x^{2} + 1 and the remainder is 5

or x^{4} – 16 by x + 2:

quotient is x^{3} – 2x^{2} +4x – 8 and the remainder is 0

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