1. 8.2: Multiplying and Factoring

2. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find the Greatest Common Factor:  9, 18, 27  8, 12, 20  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find the Greatest Common Factor:  9, 18, 27  8, 12, 20

3. Multiplying  Simplify the product:

4. Factoring  1. Find the Greatest Common Factor  2. Factor the GCF out of the polynomial  3. Rewrite polynomial with GCF multiplied to the “left over” parts of the polynomial  1. Find the Greatest Common Factor  2. Factor the GCF out of the polynomial  3. Rewrite polynomial with GCF multiplied to the “left over” parts of the polynomial

5. Factoring Example  Step one: Identify the GCF  GCF = 4  Step two: Factor out the GCF  Step three: Rewrite the polynomial with the GCF multiplied to the remaining polynomial  Step one: Identify the GCF  GCF = 4  Step two: Factor out the GCF  Step three: Rewrite the polynomial with the GCF multiplied to the remaining polynomial

6. You Try it!  Factor:

7. Simplify each product:

8. Find the GCF of the terms of each polynomial:

9. Factor each polynomial:

10. Simplify each sum or difference: