Comprehensive worksheet designed for 9th-grade algebra students to practice factoring quadratic equations across three difficulty levels.

SECTION A
1) (2x - 1)(x + 1)
2) (2x + 3)(x - 1)
3) (2x - 1)(x + 5)
4) (2x + 1)(x - 2)
5) (2x + 3)(x - 8)
6) (3x + 1)(x - 5)
7) (3x + 1)(x - 3)
8) 2(x - 1)(x - 6)
9) 3(x - 3)(x - 4)
10) (5x - 1)(x - 8)
11) (3x + 7)(x - 3)
12) 2(x + 3)(x - 2)
13) (2x - 5)(x - 3)
14) (3x + 2)(x - 12)
15) (5x - 2)(x - 5)

SECTION B
1) (x + 10)(x - 3)
2) (x + 5)(x + 4)
3) (x + 9)(x - 1)
4) (x - 10)(x - 8)
5) (x - 4)(x - 7)
6) (x + 12)(x - 6)
7) (x - 11)(x + 2)
8) (x - 4)(x + 3)
9) (x + 12)(x - 9)
10) (x - 8)(x - 9)
11) (x - 7)(x + 6)
12) (x - 7)(x - 8)

SECTION C
1) (2x + 1)(x + 1)
2) (2x + 1)(x + 2)
3) (2x + 1)(x + 3)
4) Prime (cannot be factored over integers)
5) (2x + 7)(x + 1)
6) (2x + 3)(x + 1)
7) 2(x + 1)(x + 3)
8) (2x + 5)(x + 2)
9) 2(x + 1)(x + 7)
10) 2(x + 2)(x + 6)
11) 2(x + 3)(x + 3)
12) 2(x + 2)(x + 5)
13) 2(x + 2)(x + 9)
14) 2(x + 2)(x + 12)
15) 2(x + 4)(x + 9)