2. The first reason we need to an expression is to represented an expression in a simpler form. The second reason is it allows us to equations. FACTOR EQUIVALENT I. Why Factor? SOLVE

3. Find the missing value in each equation. 1.) 2.) The trinomial written as a product of two binomials is in FACTORED FORM. Our goal is to find two integers whose SUM is b and PRODUCT is c.

4. Example: What is the factored form of II. When b > 0 and c > 0 Hint: Make a table! Now find b.

5. Example: What is the factored form of

6. III. When b 0. Hint: Since b is negative and c is positive, both factors must be negative!

7. Example: What is the factored form of

8. IV. When c < 0. Hint: Since c is negative, one factor is positive and the other negative!

9. Example: What is the factored form of

10. Helpful Hints If is close to or greater than, then the factors are usually spread apart. Ex. If is close to 1, then the factors are usually close together. Ex.

11. Example: What is the factored form of V. Prime Trinomials Since none of the factors have a sum of -1, the expression in PRIME

12. A rectangular lot has an area of What are the possible dimensions of the lot? VI. Applications

13. Homework : Tonight: Section 8.5pages 536-537 #’s 10-36 all