11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 11th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Quadratics11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Answers
Factor each quadratic.
1.Factor: x2 + 4x − 21
Answer: (x − 3)(x + 7)
- Find two numbers that multiply to −21 and add to 4: −3 and 7
2.Factor: x2 + x − 30
Answer: (x + 6)(x − 5)
- Find two numbers that multiply to −30 and add to 1: 6 and −5
3.Factor: x2 + 7x + 12
Answer: (x + 4)(x + 3)
- Find two numbers that multiply to 12 and add to 7: 4 and 3
4.Factor: x2 + 8x − 9
Answer: (x + 9)(x − 1)
- Find two numbers that multiply to −9 and add to 8: 9 and −1
5.Factor: x2 − 14x + 45
Answer: (x − 5)(x − 9)
- Find two numbers that multiply to 45 and add to −14: −5 and −9
6.Factor: x2 − 6x + 9
Answer: (x − 3)(x − 3)
- Find two numbers that multiply to 9 and add to −6: −3 and −3
7.Factor: x2 + 17x + 72
Answer: (x + 8)(x + 9)
- Find two numbers that multiply to 72 and add to 17: 8 and 9
8.Factor: x2 − 8x + 7
Answer: (x − 1)(x − 7)
- Find two numbers that multiply to 7 and add to −8: −1 and −7
9.Factor: x2 + 5x − 14
Answer: (x + 7)(x − 2)
- Find two numbers that multiply to −14 and add to 5: 7 and −2
10.Factor: x2 − 3x − 40
Answer: (x − 8)(x + 5)
- Find two numbers that multiply to −40 and add to −3: −8 and 5
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.