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Factoring Trinomials (x + 5)(x + 4) 2 x + 9x + 20 5+4 5x4 Factor 2 x + 9x + 20 Factoring is doing the opposite of FOIL 2 x + 9x + 20 (x +4)( x +5 ) We know we want to end up with 2 binomials Find 2 numbers with a product of 20 1 x 20 2 x 10 4x5 That can be combined by addition to equal 9 Check with FOIL ( x + 4)(x + 5) 2 x + 5x + 4x + 20 2 x + 9x + 20 2 x + 8x + 16 (x +4)(x +4) We know we want to end up with 2 binomials Find 2 numbers with a product of 16 1 x 16 2x8 4x4 That can be combined by addition to equal 8 Check with FOIL ( x + 4)(x + 4) 2 x + 4x + 4x + 16 2 x + 8x + 16 + 2x +- 3 ( x - 1)( x + 3) 2 x We know we want to end up with 2 binomials The – means that one sign will be negative and one will be positive Find 2 numbers with a product of 3 1x3 That can be combined by addition to equal +2 Check with FOIL ( x - 1)(x + 3) 2 x + 3x + -x + -3 2 x + 2x - 3 + x+ -12 ( x - 3)( x + 4) 2 x We know we want to end up with 2 binomials The – means that one sign will be negative and one will be positive Find 2 numbers with a product of 12 1 x 12 2x6 3x4 That can be combined by addition to equal +1 Check with FOIL ( x - 3)(x + 4) 2 x + 4x+ -3x+ -12 2 x + x - 12 +- 2x +- 8 ( x - 4)( x + 2) 2 x We know we want to end up with 2 binomials The – means that one sign will be negative and one will be positive Find 2 numbers with a product of 8 1x8 2x4 That can be combined by addition to equal -2 Check with FOIL ( x - 4)(x + 2) 2 x + 2x+ -4x + -8 2 x - 2x - 8 - 6x + 9 + ( x - 3)( x - 3) 2 x We know we want to end up with 2 binomials The +9 and -6 means that both signs will be negative Find 2 numbers with a product of 9 1x9 3x3 That can be combined by addition to equal -6 Check with FOIL ( x - 3)(x - 3) 2 x + -3x+ -3x + 9 2 x - 6x + 9 +- 7x + 10 ( x - 2)( x - 5) 2 x We know we want to end up with 2 binomials The +10 and -7 means that both signs will be negative Find 2 numbers with a product of 10 1 x 10 2x5 That can be combined by addition to equal -7 Check with FOIL ( x - 2)(x - 5) 2 x + -5x+ -2x + 10 2 x - 7x + 10