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## I. Review Distribute (aka F.O.I.L.)

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**I. Review Distribute (aka F.O.I.L.)II. Review Trial and**ErrorIII. Review GroupingIII. Factoring Quadratics**First**( x + 3 ) (x + 2 ) x2**First**Outside ( x + 3 ) (x + 2 ) x2+ 2x**First**Outside ( x + 3 ) (x + 2 ) Inside x2+ 2x + 3x**First**Outside ( x + 3 ) (x + 2 ) Inside Last x2+ 2x + 3x + 6**First**Outside ( x + 3 ) (x + 2 ) Inside Last x2+ 2x + 3x + 6 x2+ 5x + 6**First**( 3x + 2 ) (2x + 1 ) 6x2**First**Outside ( 3x + 2 ) (2x + 1 ) 6x2+ 3x**First**Outside ( 3x + 2 ) (2x + 1 ) Inside 6x2+ 3x + 4x**First**Outside ( 3x + 2 ) (2x + 1 ) Inside Last 6x2+ 3x + 4x + 2**First**Outside ( 3x + 2 ) (2x + 1 ) Inside Last 6x2+ 3x + 4x+ 2 6x2+ 7x + 2**Factoring Steps for Trial and Error**x2 + 5x + 6**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x ____ ) (1x ____ )**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 )**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 ) F.O.I.L. to check answer**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x – 1) (1x + 6 ) F.O.I.L. to check answer (1x – 1) (1x + 6 ) = x2 + 5x – 6 Error, Try Again**Factoring Steps for Trial and Error**x2 + 5x + 6**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x + 2) (1x + 3) F.O.I.L. to check answer**Factoring Steps for Trial and Error**x2 + 5x + 6 1x2 + 5x + 6 (1x + 2) (1x + 3) F.O.I.L. to check answer (x + 2) (x + 3) = x2 + 5x + 6 Correct!**Factoring Steps for Trial and Error**3x2 – 4x – 4**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x + 1) (1x – 4 ) F.O.I.L. to check answer**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x + 1) (1x – 4 ) F.O.I.L. to check answer (3x + 1) (1x – 4) = 3x2 – 11x – 4 Error, Try Again**Factoring Steps for Trial and Error**3x2 – 4x – 4**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x – 1) (1x + 4) F.O.I.L. to check answer**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x – 1) (1x + 4) F.O.I.L. to check answer (3x – 1) (1x + 4) = 3x2 + 11x – 4 Error, Try Again**Factoring Steps for Trial and Error**3x2 – 4x – 4**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x + 2) (1x – 2 ) F.O.I.L. to check answer**Factoring Steps for Trial and Error**3x2 – 4x – 4 (3x + 2) (1x – 2 ) F.O.I.L. to check answer (3x + 2) (1x – 2) = 3x2 – 4x – 4 Correct!**Factoring Steps for Trial and Error**– 6x2 – x + 2**Factoring Steps for Trial and Error**– 6x2 – x + 2 Wow! How are we going to factor this??**Factoring Steps for Trial and Error**– 6x2 – x + 2 Wow! How are we going to factor this?? Well, let’s try another method and see if that will help with this problem. We can try Factoring by Grouping.**Factoring Steps for Grouping**x2 + 5x + 6**Factoring Steps for Grouping**x2 + 5x + 6 x2 + 2x + 3x + 6**Factoring Steps for Grouping**x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6**Factoring Steps for Grouping**x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6 x(x + 2) +3(x + 2)**Factoring Steps for Grouping**x2 + 5x + 6 x2 + 2x + 3x + 6 x2 + 2x + 3x + 6 x(x + 2) +3(x + 2) (x + 2) (x + 3)**Factoring Steps for Grouping**3x2 – 4x – 4**Factoring Steps for Grouping**3x2 – 4x – 4 3x2 – 6x + 2x – 4**Factoring Steps for Grouping**3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4**Factoring Steps for Grouping**3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) 2(x – 2)**Factoring Steps for Grouping**3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) + 2(x – 2) (x – 2) (3x + 2)**Factoring Steps for Grouping**3x2 – 4x – 4 3x2 – 6x + 2x – 4 3x2 – 6x + 2x – 4 3x(x – 2) 2(x – 2) (x – 2) (3x + 2) Or it can be factored this way . . .**Factoring Steps for Grouping**3x2 – 4x – 4