Multiply Binomials and Trinomials follows the same type of multiplication methods as monomials and binomials. To multiply a Trinomial by a binomial you first write it out like so, ” “. Next you can either use the same general method as foiling, making sure to multiply each aspect by one another, or you can use algebra tiles. To use foiling, you start by multiplying each term of the trinomial by the first term in the binomial, like so, , which equals , and then you multiply each term in the trinomial by the second term in the binomial, like so, “ which equals , and then you add the results together by combining like terms, so like this,

The method used with algebra tiles is based off of a t chart where one of the polynomials is on one side, and the other is one the other side. To multiply them together, you draw them out, forming a perfect rectangle. (Shaded tiles represent positive numbers, and non-shaded tiles represent negative tiles.) To use the tiles, you use a large square as , a skinny rectangle the same length as one side of the square to represent x, and a small square the size of the small side of the x rectangle to represent 1. This is easiest shown by using premade tiles, or by drawing them on the paper.