10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade quadratics worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Quadratics10th Grade Factoring and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — Answers
Factor each quadratic.
1.Factor: x2 − 11x + 28
Answer: (x − 7)(x − 4)
- Find two numbers that multiply to 28 and add to −11: −7 and −4
2.Factor: x2 − x − 2
Answer: (x + 1)(x − 2)
- Find two numbers that multiply to −2 and add to −1: 1 and −2
3.Factor: x2 − 8x − 9
Answer: (x + 1)(x − 9)
- Find two numbers that multiply to −9 and add to −8: 1 and −9
4.Factor: x2 − 11x + 30
Answer: (x − 5)(x − 6)
- Find two numbers that multiply to 30 and add to −11: −5 and −6
5.Factor: x2 − 7x + 12
Answer: (x − 3)(x − 4)
- Find two numbers that multiply to 12 and add to −7: −3 and −4
6.Factor: x2 + 17x + 72
Answer: (x + 8)(x + 9)
- Find two numbers that multiply to 72 and add to 17: 8 and 9
7.Factor: x2 − 12x + 36
Answer: (x − 6)(x − 6)
- Find two numbers that multiply to 36 and add to −12: −6 and −6
8.Factor: x2 + 13x + 42
Answer: (x + 7)(x + 6)
- Find two numbers that multiply to 42 and add to 13: 7 and 6
9.Factor: x2 + 10x + 21
Answer: (x + 3)(x + 7)
- Find two numbers that multiply to 21 and add to 10: 3 and 7
10.Factor: x2 − 16
Answer: (x + 4)(x − 4)
- Find two numbers that multiply to −16 and add to 0: 4 and −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.