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Published byMiranda Fowler Modified over 6 years ago

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**Factoring GCF’s, differences of squares, perfect squares, and cubes**

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**Objectives You will be able to factor: Greatest common factors**

Differences of squares Perfect squares Sums and differences of cubes

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**Greatest common factor (GCF)**

Definition: Coefficient and variables that are common to all terms in a polynomial Ex 1: GCF: Factored Form: Ex 2: GCF: Factored Form: Ex 3: GCF: Factored Form:

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Practice 1. 2. 3. 4. 5. 6.

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**Differences of Squares**

Formula: Ex 1: Ex 2: Ex 3: Ex 4: PRIME! It’s not a difference! Ex 5:

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**Sums and Differences of Cubes**

Formula: Ex 1: a=x b=2 Try 2: Ex 3: Try 4:

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**Perfect square trinomials**

Formula: Figure it out How do we go from here to here?

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**Perfect square trinomials**

Formula: Ex 1: Ex 2: Ex 3: Ex 4: Ex 5:

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**Factoring Completely Always look for a GCF first**

Check the result to see if it can be factored further 1. 2. 3. 4. 5.

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