Question: Factoring and solving quadratic equations Part 3 - Factoring & Solving Quadratic Equations Factoring Methods GCF AC Method Guess and check Box Method Grouping Difference

Factoring and solving quadratic equations

Part 3 - Factoring & Solving Quadratic Equations Factoring Methods GCF AC Method Guess and check Box Method Grouping Difference of two squares Sum/difference of cubes FACTORING SPECIAL PRODUCTS Difference of Two Squares Patterns FACTORING MORE SPECIAL PRODUCTS a2 - 62 = (a + b)la - b) Example: 9x2 - 25 = (3x + 5)(3x - 5) Sum of Two Cubes Pattern Perfect Square Trinomial Pattern a3 + 63 = (a + b)la? - ab+ 62) Example: (x3 + 1) = (x+1)(x2-x+1) a2 + 2ab + 62 = (a + b)? Example: x2 + 14x + 49 = (x + 7)2 Difference of Two Cubes Pattern a2 - 2ab + 62 = (a - b)2 Example: x2 - 12x + 36 = (x - 6)2 23 - b3 = (a - b)(a2 + ab + b2) Example: (x3 - 8) = (x - 2)(x2 + 2x + 4) Factor each quadratic expression completely. 11) x2 + 8x + 7 12) x2 + 2x - 24 13) 2x2 - 7x + 3 14) 4x2 + 27x+ 35 Factor each expression completely. 15) 28y3 + 7y2 16) 16x3 + 12x2 + 12x+ 9 18) 4x2 - 121 17) x3 +8

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