{"id":8920,"date":"2020-12-15T05:48:38","date_gmt":"2020-12-15T00:18:38","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=8920"},"modified":"2020-12-15T12:22:16","modified_gmt":"2020-12-15T06:52:16","slug":"multiplying-binomials","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/multiplying-binomials\/","title":{"rendered":"Multiplying Binomials"},"content":{"rendered":"
There are numerous ways to set up the multiplication of two binomials. The first three methods shown here work for multiplying ALL<\/strong> polynomials, not just binomials. All methods, of course, give the same answer.<\/p>\n Did you see the distributive property at work in this first set-up? This is a vertical “picture” of the distributive method. The size of the grid can be adjusted to work with binomials, trinomials or other polynomials.<\/p>\n C A U T I O N !!!<\/strong> For Binomial Multiplication ONLY!<\/strong><\/p>\n This process is actually just a naming system for the distributive property as it relates to binomials (only). It creates the four needed multiplications.<\/p>\n This set up of Algebra tiles gives you a “visual” demonstration of multiplying a binomial (x – 2) times a binomial (x + 3). The example shown here is for binomial multiplication only!<\/strong> Multiplying Binomials There are numerous ways to set up the multiplication of two binomials. The first three methods shown here work for multiplying ALL polynomials, not just binomials. All methods, of course, give the same answer. 1. Horizontal “Distributive” Method: Start with the first term of the first binomial (the blue x). Distribute (multiply) this … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[3258],"yoast_head":"\n1. Horizontal “Distributive” Method:<\/strong><\/h3>\n
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\nThe first distributive property (right to left) application treats the (x + 4) as one term.
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\nThe second distributive application (left to right) is applied twice.<\/p>\n2. “Vertical” Method:<\/strong><\/h3>\n
\nThis style applies to all polynomial multiplications.<\/p>\n\n
\n<\/li>\n<\/ul>\n3. “Grid” Method<\/strong><\/h3>\n
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\nThere are set up methods that work ONLY<\/strong> for binomials. While these set ups may be helpful to understanding binomial multiplication, you must remember that they do not extend to other types of multiplications, such as a binomial times a trinomial. You will have to go back to the “distributive method” for these other polynomial multiplications.<\/p>\n4. “FOIL” Method: multiply First Outer Inner Last<\/strong><\/h3>\n
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\n<\/li>\n<\/ul>\n5. “Algebra Tile” Method<\/strong><\/h3>\n
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\nThe red tiles represent negative values. The positive (purple) and negative (red) x-tiles cancel one another when reading the answer inside the grid.<\/p>\n
\nTo multiply binomials using algebra tiles, place one expression at the top of the grid and the second expression on the side of the grid. You MUST maintain straight lines when you are filling in the center of the grid. The tiles needed to complete the inner grid will be your answer.<\/p>\n","protected":false},"excerpt":{"rendered":"