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ALGEBRA III P.5 FACTORING POLYNOMIALS! HOMEWORK: P. 74 1-91 EOO

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Factoring: Why bother? makes a polynomial simpler helps to find the zeros (x-intercepts, solutions) because it’s so much fun!!! An expression may be : factored over the set of integers irreducible over the integers (not factorable with real numbers)

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Greatest Common Factor: expression of the highest degree that divides each term of the polynomial Bain’s Words for GCF: one of every unique factor to the highest degree that it occurs! Guided Practice Factoring using GCF:

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Factoring by Grouping: group terms together that have a common factor Guided Practice:

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Factoring Trinomials: may be done by a variety of different methods – guess and test, grouping (5-step method). Refresher on 5-step method 1. ac 2. factors of ac that add or subtract to give the middle term 3. rewrite middle term using the factors 4. group 5. factor! Example:

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Guided Practice: Factor the trinomials… Factoring a trinomial in 2 variables:

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Factoring the difference of 2 squares:

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Factoring Perfect Square Trinomials: Guided Practice:

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Factoring the Sum/Difference of 2 cubes: Guided Practice:

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Whiteboard Practice: Factor out the gcf: Factor by grouping: Factor:

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