1. U4-S2-L7 Factoring ax 2 + bx + c Essential Question: How do you factor complex trinomials?

2. Factoring More Trinomials Today, we are factoring trinomials when x 2 has the coefficient a. You can still use the same methods, but be careful! You need to look for patterns that incorporate a, b, and c.

3. Methods for Factoring Extended X Factor Method Extended X Factor Method ac (product) ac (product) b (sum) b (sum) c 1)Multiply a and c for the top number 2)Use X Factor 3)Put A, two B’s, and C into Punnett Square 4)Take out the GCF of each row and column 5)Simplify answer

4. Ex. 1 Factoring ax 2 + bx + c

5. Ex. 1 Practice

6. Ex. 2 Factoring when c is Positive

7. Ex. 3 Practice

8. Factoring out a GCF What if the numbers are too big? AHHH, panic! No, just take out a GCF, then factor. If the numbers are too big in the trinomial, factor out a GCF, then factor. Example: 20x 2 + 80x + 35

9. Factoring out a GCF What if the numbers are too big? AHHH, panic! No, just take out a GCF, then factor. If the numbers are too big in the trinomial, factor out a GCF, then factor. Practice: 4y 2 + 14y + 6

10. Summary Answer the essential question in detailed, complete sentences. How do you factor complex trinomials? Write 3-5 study questions in the left column to correspond with the notes.