1. FOIL is an acronym designed to help you multiply binomials, not monomials or trinomials. Do you think that you could create an acronym (it will have more than 4 letters) to help you multiply a binomial and a trinomial? Illustrate your method by multiplying (x + 2) times (x2 2x 3x + 4), showing all steps.
2. Take a number. Add 1. Square the result. Then subtract from it the product of the original number times two more than the original number. What did you get? I claim you will always get 1. Can you explain?