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Factoring Day 2 I can factor a quadratic expression. x 2 – 8x + 15 Rewrite as (x – 3)(x – 5)

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Presentation on theme: "Factoring Day 2 I can factor a quadratic expression. x 2 – 8x + 15 Rewrite as (x – 3)(x – 5)"— Presentation transcript:

1 Factoring Day 2 I can factor a quadratic expression. x 2 – 8x + 15 Rewrite as (x – 3)(x – 5)

2 x 2 – 8x + 15 x2x2 15 -5x -3x Greatest Common Factor x-5 x -3 Greatest Common Factor Factored form: (x – 5)(x – 3) x (mult ac): + (add to b) : a= b= c= 1 -8 15 -8 -3 -5 List the factors of 15 1, 15 3, 5 Multiplying to a positive Adding to a negative Sign choices: + - + - - +

3 x 2 – 2x – 15 x2x2 -15 -5x 3x3x Greatest Common Factor x-5 x +3 Greatest Common Factor Factored form: (x – 5)(x + 3) x (mult ac): + (add to b) : a= b= c= 1 -2 -15 -2 3 -5 List the factors of 15 1, 15 3, 5 Multiplying to a negative Adding to a negative Sign choices: + - + - - +

4 x 2 + 3x – 40 x2x2 -40 -5x 8x8x Greatest Common Factor x-5 x +8 Greatest Common Factor Factored form: (x – 5)(x + 8) x (mult ac): + (add to b) : a= b= c= 1 3 -40 3 8 -5 List the factors of 40 1, 40 2, 20 Multiplying to a negative Adding to a positive Sign choices: + - + - - + 4, 10 5, 8

5 x 2 – 16 x2x2 -16 -4x 4x4x Greatest Common Factor x-4 x +4 Greatest Common Factor Factored form: (x – 4)(x + 4) x (mult ac): + (add to b) : a= b= c= 1 0 -16 0 4 -4 List the factors of 16 1, 16 2, 8 Multiplying to a negative Adding to zero---signs must be opposite!!! Sign choices: + - + - - + 4, 4

6 x 2 – 3x – 28 x2x2 -28 -7x 4x4x Greatest Common Factor x-7 x +4 Greatest Common Factor Factored form: (x – 7)(x + 4) x (mult ac): + (add to b) : a= b= c= 1 -3 -28 -3 4 -7 List the factors of 28 1, 28 2, 14 Multiplying to a negative Adding to a negative Sign choices: + - + - - + 4, 7

7 I can factor a quadratic expression. x 2 – 8x + 15 Rewrite as (x – 3)(x – 5) Assignment: Ws: Factoring 2


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