1. Review: 6.5e Mini-Quiz 1. Solve: 16x 2 – 24x = – 4x + 14 2. Solve: (x – 3)(x – 2) = 30

2. Objective: The students will solve quadratic equations by graphing and will check their solutions by solving them by factoring.

3. Solving Quadratic Equations by Graphing Chapter 6 – Factoring and Solving Equations Section 5f

4. Roots = Solutions = Zeros = X-Intercepts They are all the same

5. the solutions to a quadratic x = -7, 1equation. A quadratic equation will usually have 2 solutions. Sometimes the solutions are the same: x = 2 and x = 2. Or it will have no solution or infinite solutions.

6. Vocabulary Zeros: the x-intercepts of a graph where y = 0 Same as the roots: x = -7 and x = 1

7. Solve Example 2-1c Answer: x = { –2, 5}. (x – 5)(x + 2) = 0 x – 5 = 0 or x + 2 = 0 y = x 2 – 3x – 10 y x x = 5 or x = –2 Factor x 2 – 3x – 10 = 0

8. Example 1-1a Use a table of values to graph xy –24 –10 0–2 1 20 x 2 – x – 2 = 0 (x – 2)(x + 1) = 0 Answer: x = {–1, 2) Factor

9. Example 2-1e Solve Answer: x = {–2, 4} (x – 4)(x + 2) = 0 y = x 2 – 2x – 8 y x x – 4 = 0 or x + 2 = 0 x = 4 or x = –2 x 2 – 2x – 8 = 0 Factor

10. Example 1-2b Use a table of values to graph xy –20 –13 04 13 20 x 2 – 4 = 0 (x – 2)(x + 2) = 0 Factor Answer: x = {–2, 2} The graph is upside down because of –x 2

11. Homework 368 + 369/45-51 odd

12. Lesson Summary: Objective: The students will solve quadratic equations by graphing and will check their solutions by solving them by factoring.

13. Preview of the next Lesson: Objective: Students will solve word problems involving quadratic equations.