1. 7.2 Factoring Using the Distributive Property CORD Math Mrs. Spitz Fall 2006

2. Objectives: Use the GCF and the distributive property to factor polynomials. Use the information you are gaining now to get into Algebra II next year or test Math 121, so you can get into a decent college next year.

3. Assignment Pg. 263 #4-35 all

4. Introduction In chapter 6, you multiplied a polynomial by a monomial by using the distributive property. You can also reverse the process and express a polynomial in factored form by using the distributive property.

5. Yeah, so what does that mean? Multiplying Polynomials: Factoring polynomials: The expression 3y(4x + 2) at the right above is not considered fully factored since the polynomial 4x + 2 can be factored as 2(2x + 1). The completely factored form of 12xy and 6y would be 6y(2x + 1). Factoring a polynomial or finding the factored form of a polynomial means to find its completely factored form.

6. Ex. 1: Use the distributive property to factor 10y 2 + 15y First, find the greatest common factor for 10y 2 and 15y Then, express each term as the product of the GCF and its remaining factors. The GCF is 5y.

7. Ex. 2: Factor 21ab 2 – 33a 2 bc First, find the greatest common factor for 21ab 2 and 33a 2 bc Then, express each term as the product of the GCF and its remaining factors. The GCF is 3ab.

8. Ex. 3: Factor 6x 3 y 2 + 14x 2 y + 2x 2 First, find the greatest common factor for 6x 3 y 2 and 14x 2 y and 2x 2 Then, express each term as the product of the GCF and its remaining factors. The GCF is 2x 2.