Synthetic division is a shorthand, or shortcut, method ofpolynomial divisionin the special case of dividing by a linear factor — and itonlyworks in this case. Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials. More ...
Step 8: Factoring Polynomials by Synthetic Division Sometimes you'll get beastly polynomials that look like they have no hope. 3x^3+ 8x^2- 9x + 2 is an example. You can't use grouping to factor out a GCF in a way that would produce a common factor. ...
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