synthetic division

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synthetic division

[sin′thed·ik də′vizh·ən]
(mathematics)
A long division process for dividing a polynomial p (x) by a polynomial (x - a) where only the coefficients of these polynomials are used.
References in periodicals archive ?
2] + ax + b, Ruffini's rule can be further modified to make the division possible.
When we use Ruffini's rule, we have always changed the signs in the divisors, so in this when our divisor is [x.
Whilst this is an interesting application in its own right, it is a little known fact that Ruffini's rule can be used to find the gradient of a polynomial at a given point.
There may be some in the teaching profession who question the benefits of teaching Ruffini's rule at all.
If the remainder is zero, Ruffini's rule can be used to find multiple factors quickly, which could prove to be a highly efficient method of factorising a quartic or higher degree polynomial.
Finally (and most importantly to some) Ruffini's rule requires no technology (algebraic solver enabled calculators) for any of these explorations.