4.3.1 factoring

12
4.3 Factoring Factor trinomial expressions into two binomial expressions

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Page 1: 4.3.1 factoring

4.3 FactoringFactor trinomial expressions into two binomial expressions

Page 2: 4.3.1 factoring

Warm-up - Multiply

4 3x x

5 7x x

6 9x x

2 12 35x x

2 12x x

2 15 54x x

Page 3: 4.3.1 factoring

Un-Multiply (aka “factor”)

2 5 6x x

xx 32

Page 4: 4.3.1 factoring

Un-Multiply (aka “factor”)

2 5 6x x

xx 32

2 3

2 3 or

2 3x x

2 3x x or

Page 5: 4.3.1 factoring

Factor2 7 6x x

xx 61

1 6

1 6 or

1 6x x

1 6x x or

Page 6: 4.3.1 factoring

Factor2 6x x

xx 32

2 3

2 3 or

2 3x x

2 3x x or

Page 7: 4.3.1 factoring

Factor – now you try…2 5 6x x

6 1x x

2 4 12x x

6 2x x

Page 8: 4.3.1 factoring

Special factoring patternsDifference of Squares

Perfect Square Trinomial

2 2a b a b a b

22 22a ab b a b

22 22a ab b a b or

Page 9: 4.3.1 factoring

Factor2 100x

10 10x x conjugates2 20 100x x

210x

Page 10: 4.3.1 factoring

Factor – now you try…2 36x

6 6x x

2 2 1x x

21x

Page 11: 4.3.1 factoring

Factor – How about this one?

2 9 12x x

cannot be factored

2 30x x

5 6x x

Page 12: 4.3.1 factoring

Assignmentp. 255 # 1 - 23