KnowraSynthetic divisionLinked fromLinked fromThe 7 pages that link to Synthetic division, each with the reason it gives.All 7Related 6Compared with 1Rational root theoremRelated: After a candidate root works, synthetic division reduces the polynomial’s degree.Factor theoremRelated: After testing a candidate with the theorem, synthetic division finds the remaining factors efficiently.Polynomial evaluationRelated: Its remainder directly gives the polynomial’s value at the divisor’s root.Horner's methodRelated: Its coefficient recurrence is the same computation used in Horner evaluation.Polynomial remainder theoremRelated: Its final entry gives p(a), the remainder when dividing by x − a.Jia XianRelated: Its coefficient-by-coefficient arithmetic helps explain the structure of Jia Xian's extraction method.