Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra 2 Unit 11.6 Solve an Equation by Factoring out the Greatest Common Factor NOTES Examples Steps to solving an equation by taking factoring out the GCF. 1. 2. 3. 4. Write the equation in standard form Find the GCF. Factor the GCF out of the quadratic. Set each factors equal to zero and solve. Factor and solve the equation. Factor Solve a. 3x – 6 = 0 b. 2x + 10 = 0 c. 3x2 – 6x = 0 d. 15x2 + 6x = 0 e. -4x2 = 12x Reference Glencoe Textbook: Page 471-482 Chapter 8-1, 8-2 Algebra 2 Unit 11.6 Solve an Equation by Factoring out the Greatest Common Factor Name_______________________ Period 1 2 3 4 5 6 7 Factor and solve each equation. 1. 2. 3. 4. 5. 2x 4 0 18x 9 0 x 2 3x 0 2 C Level Factor: Solve: Factor: Solve: Factor: Solve: Factor: Solve: Factor: Solve: 12x 24x 0 3x 2 3x 0 Reference Glencoe Textbook: Page 471-482 Chapter 8-1, 8-2 Factor and solve each quadratic equation. Factor: 6. 7. 8. 9. 10. 12x 2 8x 0 18x 2 9x 0 2 B Level Solve: Factor: Solve: Factor: Solve: Factor: Solve: Factor: Solve: 3x x 0 24x 2 12x 0 27x 2 18x 0 Reference Glencoe Textbook: Page 471-482 Chapter 8-1, 8-2 Factor and solve each quadratic equation. Factor: 11. 12. 13. 14. 15. a 2 5a 2x 2 9x 2 A Level Solve: Factor: Solve: Factor: Solve: Factor: Solve: Factor: Solve: 6x 3x 20x 2 5x 6x 2 8x Reference Glencoe Textbook: Page 471-482 Chapter 8-1, 8-2 PRACTICE TEST Level C 1C. Solve. 3x2 – 18x = 0 Level B 1B. Solve. 14x2+ 21x = 0 Level A 1A. Solve. 15x2 = 5x RANDOM ANSWERS 2x(x-3) = 0 x = 0, 3 9(2x-1) = 0 x=½ 12x(2x+1) = 0 x = 0, -1/2 12x(x+2) = 0 x = 0, -2 3x(x-1) = 0 x = 0, 1 a(a+5) = 0 a = 0, -5 3x(3x+1) = 0 x = 0, -1/3 x(3x+1) = 0 x = 0, -1/3 x(x+3) = 0 x = 0, -3 9x(3x-2) = 0 x = 0, 2/3 2(x-2) = 0 x=2 2x(3x-4) = 0 x = 0, 4/3 Reference Glencoe Textbook: Page 471-482 Chapter 8-1, 8-2 5x(4x+1) = 0 x = 0, -1/4 9x(2x-1) = 0 x = 0, ½ 4x(2x-2) = 0 x = 0, 2/3 1C. 3x(x-6) = 0 x = 0, 6 1B 7x(2x+3)=0 x = 0, -3/2 1A 5x(3x-1) = 0 x = 0, 1/3