Using the Distributive Property For all numbers a, b, and c, a( b + c) = ab + acand ( b + c )a = ba + ca a (b - c) = ab - acand ( b - c )a = b(a) - c(a) The term on the outside of the parenthesis must be multiplied by EVERY term on the inside of the parenthesis. I. Multiplying Expressions

Example: Simplify the expression:

When multiplying variable expressions, multiply the CONSTANTS first, then the VARIABLES. Example - II. Multiplying Variable Expressions

Use the Distributive Property to find each product: 1)

2)

III. Factoring Polynomial Expressions Factors are the numbers or variables that DIVIDE another number or variable evenly. The factors of are,,,,,,, and

To FACTOR a polynomial expression, we need to find the GREATEST common factor of all the terms in the expression. We then do the DISTRIBUTIVE Property in reverse. In other words, we “pull out” the GCF and divide each term by the GCF.

Example - GCF =

Write each polynomial in factored form: 1) GCF: Work: Answer:

2) GCF: Work: Answer:

3) GCF: Work: Answer:

Homework : Section 8.2pages #’s even