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Unformatted text preview: other twoterm polynomial. The method is called "FOIL". The letters FOIL come from the words "first", "outer", "inner", "last", and are a memory device for helping you remember how to multiply horizontally, without having to write out the distribution and without dropping any terms. Here is what FOIL stands for: Foil That is, FOIL tells you to multiply the first terms in each of the parentheses, then multiply the two terms that are on the "outside" (furthest from each other), then the two terms that are on the "inside" (closest to each other), and then the last terms in each of the parentheses. In other words, using the previous example: Use FOIL to simplify (x + 3)(x + 2) "first": (x)(x) = x2 "outer": (x)(2) = 2x
"inner": (3)(x) = 3x
"last": (3)(2) = 6 (x + 3)(x + 2) = x2 + 2x + 3x + 6 = x2 + 5x + 6 Sometimes you will have to multiply one multiterm polynomial by another multiterm polynomial. You can do this horizontally or use the vertical multiplication once...
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