Question

Describe, with examples of your own, when you would use long division and synthetic division and how to check polynomial division.

Answer 1

You use long division when you divide polynomial by other polynomials. You use synthetic division to divide polynomials by binomials of the form (x-k).

Answer 2

Long Division whenever you want divide a polynomial for another polynomial of lower degree.

Synthetic division works better when the binomial has the coeficient equals 1. In this case Synthetic division make it faster than Long division, even though it works for other cases too.

Explanation:

Check the pictures below

To Check polynomial division, simply multiply the Quotient by the divisor then add the remainder.