Solving Quadratic Equations, Zero Product ... - Hanlon Math
Solving Quadratic Equations, Zero Product Property
Algorithm
1. Place everything on one side, zero on the other side of the equal sign
2. Factor completely
3. Set each factor equal to zero
4. Solve the resulting equations
Solve the following quadratic equations using the Zero Product Property
1. x2 + 7x + 12 = 0 2. x2 + 9x + 20 = 0
3. x2 + 6x + 5 = 0 4. x2 + 8x + 12 = 0
5. x2 + 7x + 10 = 0 6. x2 +11x + 10 = 0
7. x2 – 5x + 6 = 0 8. x2 = 8x – 15
9. x2 + 18 = 9x 10. x2 – 9x + 20 = 0
11. x2 – 2x = – 1 12. x2 – 5x + 4 = 0
13. x2 – x = 20 14. x2 + 3x = 40
15. x2 = x + 6 = 0 16. x2 + 4x = 45
17. x2 – 3x – 70 = 0 18. x2 + 9x – 10 = 0
19. x2 + 5x = –4 20. x2 + 2x = 3
21. x2 = 5x – 4 22. x2 = 15 – 2x
23. 2x2 + 5x + 2 = 0 24. 6x2 + 10x – 4 = 0
25. 3x2 + x– 2 = 0 26. 8y2 + 3y = 3
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