Factoring a Trinomial with Last Term Positive Rule:

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Presentation transcript:

Factoring a Trinomial with Last Term Positive Rule: The sign of b will be the sign that goes inside BOTH parenthesis

Warm Up – FACTOR (3m – 1)(m – 9) (2g + 3)(g + 2) 3m2 – 28m + 9

Last Term NEGATIVE

Factoring a Trinomial with Last Term Negative Rule: If b is Positive, then the larger number on the loop will need to be positive. If b is Negative, then the larger number on the loop will need to negative.

1. 3x2 – 20x – 7 ( )( ) x 3x + 1 – 7

2. 2x2 + 3x – 5 ( )( ) 2x x + 5 – 1

3. 5m2 + 14m – 3 ( )( ) 5m – 1 m + 3

4. x2 + 8x – 9 ( )( ) x + 9 x – 1

5. 2m2 – 3m – 9 ( )( ) 2m m + 3 – 3

6. 2x2 – 11x – 21 ( )( ) 2x + 3 x – 7

7. 3x2 – 5x – 12 ( )( ) 3x + 4 x – 3

(7y + 2)(y – 4) (4x – 5)(x + 3) 8. 7y2 – 26y – 8 9. 4x2 + 7x – 15 You Try... 8. 7y2 – 26y – 8 (7y + 2)(y – 4) 9. 4x2 + 7x – 15 (4x – 5)(x + 3)

(4x – 5)(x + 1) (3x + 4)(3x – 7) 10. 4x2 – x – 5 11. 9x2 – 9x – 28 You Try... 10. 4x2 – x – 5 (4x – 5)(x + 1) 11. 9x2 – 9x – 28 (3x + 4)(3x – 7)

Sometimes you can factor out a GCF 1st!

12. -3x2y – 18xy – 27y -3y(x2 + 6x + 9) -3y( )( ) x x + 3 + 3

Preview Difference of Squares x2 – 25 (x + 5)(x – 5)

Teach Me How To Factor http://www.youtube.com/watch?v=OFSrINhfNsQ