Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

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Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x 2 4

Transcript of Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Page 1: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Algebra Foundations

Box Factoringor

acb Method

2x2 + 10x + 8

x2

4

Page 2: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 + 10x + 8

Solve by using the Box Factoring Method

Page 3: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 + 10x + 8

Solve by using the Box Factoring Method

Can I reduce the polynomial first?

Page 4: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 + 10x + 8

Page 5: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 8

1 2 1 10 1 8

2 5 2 4

Page 6: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 8

1 2 1 10 1 8

2 5 2 4

Page 7: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 8

Page 8: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 82 2 2

x2 +5x + 4

Page 9: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 82 2 2

(x2 +5x + 4)2

Page 10: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2 +5x + 4

x2

4

or acb Method

Page 11: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

a c

x2 4

4x2

x2 +5x + 4

Page 12: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

a c

x2 4

4x2

x2 +5x + 4

Page 13: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2 +5x

x2 +5x + 4

Page 14: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2x2 +5x + 4 +5x

Page 15: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2

4x 1x

2x 2x

-4x -1x

-2x -2x

x2 +5x + 4 +5x

Page 16: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2

4x 1x

2x 2x

-4x -1x

-2x -2x

x2 +5x + 4 +5x

Page 17: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2

4x 1x

2x 2x

-4x -1x

-2x -2x

x2 +5x + 4 +5x

Page 18: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2

4x 1x

x2 +5x + 4 +5x

Page 19: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

4

4x2

4x 1x

1x

4x

x2 +5x + 4 +5x

Page 20: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 21: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 22: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 23: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 24: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 25: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2

41x

4x

x2 +5x + 4

Page 26: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2 +5x + 4

Page 27: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 82 2 2

(x2 +5x + 4)2

Page 28: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

2x2 +10x + 82 2 2

(x2 +5x + 4)2

Page 29: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box FactoringBox Factoring

x2 +5x + 4

Need to add the 2 in front of the polynomial

Page 30: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box Factoringor

acb Method

3x2 + 15x + 18

Try one on your ownTry one on your own

Page 31: Algebra Foundations Box Factoring or acb Method 2x 2 + 10x + 8 x2x2 4.

Box Factoringor

acb Method

3x2 + 15x + 18

AnswerAnswer

= 3(x+2) (x+3)