u4-s2-l7 factoring ax 2 + bx + c essential question: how do you factor complex trinomials?
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U4-S2-L7 Factoring U4-S2-L7 Factoring aaxx22 + + bbx + x + cc
Essential Question:How do you factor complex trinomials?
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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.
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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
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Ex. 1 Factoring axEx. 1 Factoring ax22 + bx + c + bx + c
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Ex. 1 PracticeEx. 1 Practice
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Ex. 2 Factoring when c is PositiveEx. 2 Factoring when c is Positive
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Ex. 3 Practice
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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
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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
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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.