Question

What are the difference between polynomial long division and arithmetic long division?

Answer 1

The purpose of long division with polynomials is similar to long division with integers; to find whether the divisor is a factor of the dividend and, if not, the remainder after the divisor is factored into the dividend. The primary difference here is that you are now dividing with variables.

Answer 2

Not much, other than that in polynomial long division you use variables and can have a variable and a number while in arithmetic long division you just have numbers