11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
11th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Answers
Factor, then use the zero product property.
1.Solve: 2x2 + 12x + 10 = 0
Answer: x = -1 or x = −5
- Factor: (2x + 2)(x + 5) = 0
- 2x + 2 = 0 gives x = -1
- x + 5 = 0 gives x = −5
2.Solve: 3x2 − 22x + 7 = 0
Answer: x = or x = 7
- Factor: (3x − 1)(x − 7) = 0
- 3x − 1 = 0 gives x =
- x − 7 = 0 gives x = 7
3.Solve: 3x2 − 3 = 0
Answer: x = 1 or x = −1
- Factor: (3x − 3)(x + 1) = 0
- 3x − 3 = 0 gives x = 1
- x + 1 = 0 gives x = −1
4.Solve: 3x2 − 13x + 4 = 0
Answer: x = or x = 4
- Factor: (3x − 1)(x − 4) = 0
- 3x − 1 = 0 gives x =
- x − 4 = 0 gives x = 4
5.Solve: 3x2 + 22x + 24 = 0
Answer: x = − or x = −6
- Factor: (3x + 4)(x + 6) = 0
- 3x + 4 = 0 gives x = −
- x + 6 = 0 gives x = −6
6.Solve: 2x2 + 17x + 30 = 0
Answer: x = − or x = −6
- Factor: (2x + 5)(x + 6) = 0
- 2x + 5 = 0 gives x = −
- x + 6 = 0 gives x = −6
7.Solve: 2x2 + 9x − 18 = 0
Answer: x = or x = −6
- Factor: (2x − 3)(x + 6) = 0
- 2x − 3 = 0 gives x =
- x + 6 = 0 gives x = −6
8.Solve: 3x2 + 26x + 16 = 0
Answer: x = − or x = −8
- Factor: (3x + 2)(x + 8) = 0
- 3x + 2 = 0 gives x = −
- x + 8 = 0 gives x = −8
9.Solve: 2x2 − 7x − 72 = 0
Answer: x = − or x = 8
- Factor: (2x + 9)(x − 8) = 0
- 2x + 9 = 0 gives x = −
- x − 8 = 0 gives x = 8
10.Solve: 3x2 + 20x + 32 = 0
Answer: x = − or x = −4
- Factor: (3x + 8)(x + 4) = 0
- 3x + 8 = 0 gives x = −
- x + 4 = 0 gives x = −4
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.