1. Factoring Trinomials A
Algebra 1 9-6

2. Factoring

3. Steps Multiply first and last coefficients
Find all pairs of factors for the product
Select the pair of factors that adds (subtracts) to the value of the middle coefficient
Rewrite the original equation as four terms, replacing the middle term
Use factor by grouping
Set each binomial to zero if solving
Steps

4. Dealing with Negative Numbers
If the last term is negative, subtract the factored pair. The largest replacement term has the same sign as the original middle term
If the last term is positive, the replacement terms both have the same sign as the original middle term
Dealing with Negative Numbers

5. 60 1 2 30 3 20 4 15 5 12 6 10
Example

6. 18 1 2 9 3 6
Example

7. Practice

8. Factoring Before factoring trinomials, ALWAYS check for a GCF first
If there is a GCF, factor it out with the distributive property, then proceed with factoring the trinomial
Factoring

9. 60 1 2 30 3 20 4 15 5 12 6 10
Example

10. Practice

11. Practice

12. Practice

13. Practice

14. Practice

15. Practice

16. Practice

17. Practice

18. Practice

19. Practice

20. Practice

21. Practice

22. Practice

23. Pages 487 – 488
2 – 44 even
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Homework