1. Last Term POSITIVE

2. Rule:
When the last term is POSITIVE, the middle sign will be the sign that goes inside BOTH parenthesis

3. For polynomials, how is factoring related to multiplying?
2x2 – 5x + 3
2x2 – 5x + 3
( )( ) 2x x
– 3
– 1
For polynomials, how is factoring related to multiplying?

4. For polynomials, how is factoring related to multiplying?
x2 + 9x + 14
x2 + 9x + 14
( )( ) x x
+ 7
+ 2
For polynomials, how is factoring related to multiplying?

5. For polynomials, how is factoring related to multiplying?
5x2 + 11x + 2
5x2 + 11x + 2
( )( ) 5x x
+ 1
+ 2
For polynomials, how is factoring related to multiplying?

6. For polynomials, how is factoring related to multiplying?
3x2 – 10x + 7
3x2 – 10x + 7
( )( ) 3x x
– 7
– 1
For polynomials, how is factoring related to multiplying?

7. For polynomials, how is factoring related to multiplying?
2x2 – 7x + 6
2x2 – 7x + 6
( )( ) 2x x
– 3
– 2
For polynomials, how is factoring related to multiplying?

8. For polynomials, how is factoring related to multiplying?
6x2 – 11x + 3
6x2 – 11x + 3
( )( ) 2x
– 3 3x
– 1
For polynomials, how is factoring related to multiplying?

9. For polynomials, how is factoring related to multiplying?
You Try...
3x2 – 10x + 3
(3x – 1)(x – 3)
2x2 – 7x + 5
(2x – 5)(x – 1)
For polynomials, how is factoring related to multiplying?

10. For polynomials, how is factoring related to multiplying?
You Try...
3x2 – 8x + 4
(3x – 2)(x – 2)
2x2 – 11x + 9
(2x – 9)(x – 1)
For polynomials, how is factoring related to multiplying?

11. Sometimes you can factor out a GCF 1st!

12. For polynomials, how is factoring related to multiplying?
14x2 – 32x + 18
2(7x2 – 16x + 9)
2( )( ) 7x x
– 9
– 1
For polynomials, how is factoring related to multiplying?

13. For polynomials, how is factoring related to multiplying?
2x2 + 9x + 10
( )( ) 2x x
+ 5
+ 2
For polynomials, how is factoring related to multiplying?

14. For polynomials, how is factoring related to multiplying?
6x2 – 13x + 6
( )( ) 3x 2x
– 2
– 3
For polynomials, how is factoring related to multiplying?

15. For polynomials, how is factoring related to multiplying?
3x2 – 10x + 7
( )( ) 3x x
– 7
– 1
For polynomials, how is factoring related to multiplying?

16. For polynomials, how is factoring related to multiplying?
4x2 – 16x + 15
( )( ) 2x 2x
– 3
– 5
For polynomials, how is factoring related to multiplying?

17. For polynomials, how is factoring related to multiplying?
6x2 – 11x + 3
( )( ) 2x
– 3 3x
– 1
For polynomials, how is factoring related to multiplying?

18. For polynomials, how is factoring related to multiplying?
You Try...
2y2 – 17y + 35
(2y – 7)(y – 5)
6x2 – 21x + 15
3(x – 1)(2x – 5)
For polynomials, how is factoring related to multiplying?

19. For polynomials, how is factoring related to multiplying?
You Try...
4x2 – 15x + 9
(4x – 3)(x – 3)
3x2 + 17x + 20
(3x + 5)(x + 4)
For polynomials, how is factoring related to multiplying?