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Yeongseo Unit 3 Expanding and Factoring - Summary Sheet Part A - Expanding Simplifying Algebraic Expressions Example(s): Common Mistakes/Reminders: Expanding means to Distributive Property: Multiplying Binomials (FOIL): Example(s): Common Mistakes/ Reminders: Part B - Solving Quadratic Equations Solving Quadratic Equations A quadratic equation has a degree of Example(s): Common Mistakes/ Reminders: - Solving means to Steps:Part C - Factoring Flowchart Common factor 1st, if you can! *Note: Always try Example: - 3x +6 to factor further, if - 3(x- 2) possible! How many terms are there? 2 Terms Difference of Squares 4 or More Terms Pattern: 3 Terms Example: Group to Create a Group to Create a Common Factor Difference of Squares Steps: Steps: Perfect Square Trinomial Simple Trinomial Complex Trinomial ( a # (a = Pattern: Method #1 Method #2: Method: Decomposition product - dum method Example: Example: Example: 543 - 144+8 Example: Example: Example: 26 - 420 - 12 ( 2 - 67 ( 76 + 2 ) : 5 43- 4y-10y+8 4 ( 5 4 - 4 ) - 2 ( 5 4-4 ) = ( 5 4 - 4 ) (y - 2 )