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

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Presentation transcript:

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

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.

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

Ex. 1 Factoring ax 2 + bx + c

Ex. 1 Practice

Ex. 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: 20x x + 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: 4y y + 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.