If the divisor is a binomial of the form x - a, then use a shorter method to make the division, called rule Ruffini.
Resolve Ruffini's rule the division:
(x4-3x2 +2) (x -3)
1 If the polynomial is not complete, we complete it by adding the missing terms with zeros.
2Colocamos the coefficients of the dividend in one line.
Left 3Abajo place the opposite end of the divider independendiente.
4Trazamos a line and down the first coefficient.
5Multiplicamos this ratio by the divisor and place it under the following term.
6Sumamos the two coefficients.
7Repetimos the above process.
We repeat the process.
8 The last number obtained, 56, is the rest.
9The ratio is a polynomial of degree one less than the dividend and whose coefficients are those who have obtained.
x3 + 3 x2 + 6x +18