Mixed Practice Problems

1. Factor: \( x^2 + 5x + 6 \)
2. Solve: \( x^2 - 7x + 12 = 0 \)
3. Factor completely: \( 2x^2 + 5x + 2 \)
4. Solve: \( x^2 - 9x + 20 = 0 \)
5. Word problem: Two consecutive numbers sum to 15. Find them.
6. Factor: \( x^2 - 16 \)
7. Solve: \( x^2 + 6x + 9 = 0 \)
8. Solve: \( 3x^2 - 12x = 0 \)
9. Word problem: Area of rectangle is \( x^2 + 7x + 12 \). Find dimensions.
10. Mixed: \( x^2 - x - 12 = 0 \)