Dividing polynomials is the process of dividing one polynomial by another. There are two common methods: long division and synthetic division. Long division resembles the division of numbers, while synthetic division is a shorthand method for dividing by linear factors.

Both methods aim to find the quotient polynomial and, if applicable, the remainder polynomial.

Explanation: The image displays two ways of dividing polynomials: long division (left) and synthetic division (right). Both methods divide a polynomial (dividend) by another polynomial (divisor). However, synthetic division is a faster method for specific cases.