A binomial has two terms, while a trinomial has 3 terms. So both terms of the binomial will multiply each term of the trinomial (distribution property). After the multiplication you'll have 6 terms. Look for like terms, if there are, combine them.
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Trinomials, Binomials and Monomials
The foil method in algebra is used to "multiply linear binomials."The FOIL method is used in elementary algebra as a guide for solving algebraic problems.
This can't be explained in a few words. Basically you check the different special cases, mentioned in a school algebra course: whether there is a common factor, whether a binomial is a difference of squares, etc. Check a high school algebra book for more details.
Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.
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