11th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Factor each quadratic.
1.Factor: x2 + 17x + 72
Answer: (x + 9)(x + 8)
- Find two numbers that multiply to 72 and add to 17: 9 and 8
2.Factor: x2 − 12x + 32
Answer: (x − 4)(x − 8)
- Find two numbers that multiply to 32 and add to −12: −4 and −8
3.Factor: x2 + 12x + 36
Answer: (x + 6)(x + 6)
- Find two numbers that multiply to 36 and add to 12: 6 and 6
4.Factor: x2 + 4x − 5
Answer: (x − 1)(x + 5)
- Find two numbers that multiply to −5 and add to 4: −1 and 5
5.Factor: x2 − 2x − 63
Answer: (x − 9)(x + 7)
- Find two numbers that multiply to −63 and add to −2: −9 and 7
6.Factor: x2 + 14x + 48
Answer: (x + 6)(x + 8)
- Find two numbers that multiply to 48 and add to 14: 6 and 8
7.Factor: x2 + x − 56
Answer: (x + 8)(x − 7)
- Find two numbers that multiply to −56 and add to 1: 8 and −7
8.Factor: x2 + 2x − 8
Answer: (x − 2)(x + 4)
- Find two numbers that multiply to −8 and add to 2: −2 and 4
9.Factor: x2 − 5x + 4
Answer: (x − 1)(x − 4)
- Find two numbers that multiply to 4 and add to −5: −1 and −4
10.Factor: x2 + 6x − 7
Answer: (x − 1)(x + 7)
- Find two numbers that multiply to −7 and add to 6: −1 and 7
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.