Guidelines for Factoring.docx - Guidelines for Factoring 1 Look for the greatest common factor and factor it out using the distributive property 2 If

Guidelines for Factoring.docx - Guidelines for Factoring 1...

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Guidelines for Factoring 1. Look for the greatest common factor and factor it out using the distributive property.2. If the polynomial has two terms, look fora. a difference of two squares: u2 v2= (u + v)(u b. a difference of two cubes: u3v3= (u v)(u2+ uv + v2c. a sum of two cubes: u3+ v3= (u + v)(u2uv + v2)3. If the polynomial has three terms, look for a perfect square trinomial:a. u2+ 2uv + v2= (u + v)2b. u22uv + v2= (u v)Note:Here's how to recognize a perfect square trinomial.1. The first and last terms are positive perfect squares.2. The middle term is twice the product of the square roots of the first and last terms.
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