This document discusses two methods for adding and subtracting polynomials: 1) The horizontal method involves grouping like terms together and keeping the signs with each term. 2) The vertical method lines up like terms and keeps the signs with each term. To subtract polynomials, change all the signs in the second set and then add the polynomials as if it were an addition problem. Either the horizontal or vertical method can be used, depending on how the problem is laid out.