U4-S2-L7 Factoring U4-S2-L7 Factoring aaxx22 + + bbx + x + cc

Essential Question:How do you factor complex trinomials?

Factoring More Trinomials Factoring More Trinomials

• Today, we are factoring trinomials when x2 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.

Methods for FactoringMethods for Factoring

• Extended X Factor MethodExtended X Factor Method ac (product)ac (product)

b (sum)b (sum)

1) Multiply a and cc for the top number

2) Use X Factor3) Put A, two B’s, and C into Punnett

Square4) Take out the GCF of each row and

column5) Simplify answer

Ex. 1 Factoring axEx. 1 Factoring ax22 + bx + c + bx + c

Ex. 1 PracticeEx. 1 Practice

Ex. 2 Factoring when c is PositiveEx. 2 Factoring when c is Positive

Ex. 3 Practice

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: 20x2 + 80x + 35

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: 4y2 + 14y + 6

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.