Question

what is synthetic division​

Answer 1

Answer:

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division. 

Answer 2

Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor -- and it only works in this case. Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials.