Review Problems

1. Factor completely: \( x^2 + 7x + 12 \)
2. Factor: \( x^2 - 9x + 20 \)
3. Solve: \( x^2 - 4x - 12 = 0 \)
4. Solve: \( 2x^2 + 5x - 3 = 0 \)
5. Word problem: The product of two consecutive integers is 56. Find the integers.
6. Solve by factoring: \( x^2 + 6x + 9 = 0 \)
7. Find dimensions of a rectangle with area \( x^2 + 8x + 15 \)
8. Solve: \( 3x^2 - 12x = 0 \)
9. Solve: \( x^2 - x - 6 = 0 \)
10. Mixed practice: \( x^2 - 10x + 21 = 0 \)