1. 9.6 Factoring Trinomials

2. 9.6 – Factoring Trinomials Goals / “I can…”  Factor trinomials in the form ax + bx + c 2

3. 9.6 – Factoring Trinomials The ability to factor trinomials with a leading coefficient, a, is very similar to yesterday’s assignment. The difference is you have to consider the factors of a.

4. 9.6 – Factoring Trinomials Look at the trinomial: 20y + 17y + 3 2

5. 9.6 – Factoring Trinomials 20y + 17y + 3 What are the factors of 20? What are the factors of 3? What combination of those factors gives the total of the middle term, 17? 20*3 + 1*1 = 10*3 + 2*1 = 5*3 + 4*1 = 5*1 + 3*4 = 20*1 + 3*1 = 10*1 + 3*2 = 2

6. 9.6 – Factoring Trinomials Using that combination, write two binomials that would give you the original trinomial. (4x + 1)(5x + 3)

7. 9.6 – Factoring Trinomials TRY: 6x + 5x + 1 2

8. 9.6 – Factoring Trinomials How would it change if you had a negative? 3n – 7n – 6 What are the factors of 3 and -6? What combination would give you -7? 2

9. 9.6 – Factoring Trinomials TRY: 3y – 16y – 12 2

10. 9.6 – Factoring Trinomials Sometimes we can factor a number out first and it makes it easier to factor. 24m – 32m + 8 2

11. 9.6 – Factoring Trinomials 24m – 32m + 8 Since it might be hard to find factors of 24 and 8, factor a GCF out first. 24m – 32m + 8 8(3m – 4m + 1) Now factor (3m – 4m + 1) 2 2 2 2

12. 9.6 – Factoring Trinomials DON’T FORGET THE 8!!!! DON’T FORGET THE 8!!!! 8(3m – 1)(m – 1)

13. 9.6 – Factoring Trinomials 7x 2 – 26x – 8

14. 9.6 – Factoring Trinomials 10w 2 + 11w – 8

15. 14n 2 + 23n – 15 Factors of 210: -1 and 210 -2 and 105 -3 and 70 211 103 67 Example #8: Multiply 14 & 15 -5 and 4237 = 210 -6 and 3529 -7 and 3023