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Unit 1 lesson 4 notes 2
The document discusses the difference of squares factoring method. It explains that for a binomial to be factorable using this method, it must have two terms separated by a subtraction sign, where the first term is a perfect square and the second term is a perfect square. If these four requirements are met, the binomial can be factored into the form (a+b)(a-b). It provides examples of factoring x^2 - 100 and x^2 - 1 using this difference of squares method.
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Unit 1 lesson 4 notes 2
- 1. Unit 1 Lesson4 Notes 2 Factoring Differences of Squares How to determine if you can factor using the difference of squares method: 1. There has to be two terms. 2. There is a subtraction sign 3. The first term is a perfect square 4. The second term is a perfect square If these requirements are all met then you can factor the binomial. (a² - b²) = (a+b)(a-b)
- 2. EXAMPLE 1 (x²- 100) How to determine if you can factor using the difference of squares method: 1. There has to be two terms. 2. There is a subtraction sign 3. The first term is a perfect square 4. The second term is a perfect square If these requirements are all met then you can factor the binomial. (x² - 100) = (x+10)(x-10)
- 3. EXAMPLE 2 (x²- 1) How to determine if you can factor using the difference of squares method: 1. There has to be two terms. 2. There is a subtraction sign 3. The first term is a perfect square 4. The second term is a perfect square If these requirements are all met then you can factor the binomial. (x² - 1) = (x+1)(x-1)