1. Splash Screen

2. Example 1 Write an Equation Given Roots (x – p)(x – q)=0Write the pattern. Simplify. Replace p with and q with –5. Use FOIL.

3. Example 1 Write an Equation Given Roots Multiply each side by 2 so b and c are integers. Answer:

4. A.A B.B C.C D.D Example 1 A.ans B.ans C.ans D.ans

5. Concept

6. A.A B.B C.C D.D Example 3 A.(z + 6) 2 B.(z + 3) 2 C.(z – 9) 2 D.(z + 12) 2 A. Factor z 2 + 12z + 36.

7. Example 4 Factor Trinomials A. Factor x 2 + 2x – 24. Find two values, m and p, such that their product equals ac and their sum equals b. b=2b=2 ac =–24a = 1, c = –24

8. Example 4 Factor Trinomials x 2 + 2x – 24Original expression = x 2 + mx + px – 24Write the pattern. = x 2 + 6x + (–4)x – 24m = 6, p = –4 = (x 2 + 6x) + (–4x – 24)Group terms with common factors. = x(x + 6) – 4(x + 6)Factor the GCF from each grouping. = (x + 6)(x – 4)Distributive Property Answer: (x + 6)(x – 4)

9. Example 4 Factor Trinomials B. Factor 2y 2 – 9y – 18. ac =–36a = 2, c = –18 2y 2 – 9y – 18Original expression = 2y 2 – my + py – 18Write the pattern. = 2y 2 – 12y + 3y – 18m = –12, p = 3 = (2y 2 – 12y) + (3y – 18)Group terms with common factors. = 2y(y – 6) + 3(y – 6)Factor the GCF from each grouping. = (2y + 3)(y – 6)Distributive Property Answer: (2y + 3)(y – 6)

10. A.A B.B C.C D.D Example 4 A.(x + 3)(x + 5) B.(x – 4)(x + 2) C.(x + 7)(x + 8) D.(x – 3)(x – 5) A. Factor x 2 – 8x + 15.

11. A.A B.B C.C D.D Example 4 A.(3s + 1)(s – 4) B.(s + 1)(3s – 4) C.(3s + 4)(s – 1) D.(s – 1)(3s + 4) B. Factor 3s 2 – 11s – 4.

12. Concept

13. End of the Lesson