30 quadratic factoring problems with the equation numbers and digits within the equations presented as small, inline with your example format.  Make them random and list like thsi3x ^2−12x+9=0

Here are 30 quadratic factoring problems formatted with small, inline numbers:

1. \(3x^2 - 12x + 9 = 0\)
2. \(2x^2 + 7x - 15 = 0\)
3. \(x^2 - 5x + 6 = 0\)
4. \(4x^2 + 4x - 24 = 0\)
5. \(6x^2 - 13x + 5 = 0\)
6. \(5x^2 + 9x - 2 = 0\)
7. \(7x^2 - 28x + 16 = 0\)
8. \(x^2 + 8x + 12 = 0\)
9. \(2x^2 - 4x - 16 = 0\)
10. \(x^2 - 9x + 20 = 0\)
11. \(3x^2 + 11x - 4 = 0\)
12. \(4x^2 - 8x - 12 = 0\)
13. \(2x^2 - 3x - 9 = 0\)
14. \(6x^2 + x - 5 = 0\)
15. \(5x^2 - 15x + 10 = 0\)
16. \(x^2 + 2x - 35 = 0\)
17. \(3x^2 - 18x + 24 = 0\)
18. \(x^2 - 4x - 45 = 0\)
19. \(2x^2 + 9x - 5 = 0\)
20. \(x^2 + 10x + 16 = 0\)
21. \(4x^2 - 3x - 1 = 0\)
22. \(7x^2 + 5x - 2 = 0\)
23. \(x^2 - 2x - 24 = 0\)
24. \(2x^2 - 7x + 3 = 0\)
25. \(5x^2 + 8x - 16 = 0\)
26. \(3x^2 + 6x - 45 = 0\)
27. \(x^2 - 7x + 10 = 0\)
28. \(6x^2 - 5x - 21 = 0\)
29. \(x^2 + 3x - 4 = 0\)
30. \(4x^2 - 16x + 15 = 0\)

Would you like detailed solutions for any of these problems or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you determine the factors of a quadratic equation?
2. What are the common methods used for factoring quadratics?
3. How can you check if a quadratic equation is factorable?
4. What is the role of the discriminant in quadratic equations?
5. How does completing the square compare to factoring quadratics?

**Tip**: Always check for a common factor in all terms before attempting to factorize a quadratic equation!

Practice quadratic factoring with 30 randomly generated problems and solutions. Each equation, including variables and coefficients, is presented in a small, inline format for easy understanding and practice. Perfect for students in Grades 9-12.

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