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

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Presentation transcript:

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

Objectives You will be able to factor: Greatest common factors Differences of squares Perfect squares Sums and differences of cubes

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:

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

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

Sums and Differences of Cubes Formula: Ex 1: a=x b=2 Try 2: Ex 3: Try 4:

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

Perfect square trinomials Formula: Ex 1: Ex 2: Ex 3: Ex 4: Ex 5:

Factoring Completely Always look for a GCF first Check the result to see if it can be factored further 1. 2. 3. 4. 5.