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Factoring and Solving Polynomial Equations Chapter 6.4

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Ch 6.4 Factoring and Solving Polynomial Equations Special Factoring Patterns SUM of two CUBES DIFFERENCE of two CUBES Factor by Grouping Factoring Polynomials in Quadratic Form Factor out Greatest Common Factor first Special Factoring Patterns SUM of two CUBES DIFFERENCE of two CUBES Factor by Grouping Factoring Polynomials in Quadratic Form Factor out Greatest Common Factor first

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Special Factoring Patterns SUM of two CUBES DIFFERENCE of two CUBES x 3 + 8 = (x + 2) (x 2 - 2x + 4) x 3 - 8 = (x - 2) (x 2 + 2x + 4) 27x 3 + 8 = (3x + 2)(9x 2 - 6x + 4) 27x 3 - 8 = (3x - 2)(9x 2 + 6x + 4) SUM of two CUBES DIFFERENCE of two CUBES x 3 + 8 = (x + 2) (x 2 - 2x + 4) x 3 - 8 = (x - 2) (x 2 + 2x + 4) 27x 3 + 8 = (3x + 2)(9x 2 - 6x + 4) 27x 3 - 8 = (3x - 2)(9x 2 + 6x + 4)

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Factor out GCF (Greatest Common Factor) Given: 6x 5 - 3x 3 + 9x 2 Determine the greatest common factor for the coefficients and the variables: Coefficients: GCF is 3 Variables: GCF is x 2 SO - GCF is 3x 2 GCF FACTORED out: 3x 2 (2x 3 - x + 3) Given: 6x 5 - 3x 3 + 9x 2 Determine the greatest common factor for the coefficients and the variables: Coefficients: GCF is 3 Variables: GCF is x 2 SO - GCF is 3x 2 GCF FACTORED out: 3x 2 (2x 3 - x + 3)

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