Year 12 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 12 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · QuadraticsYear 12 Factorising and Solving Quadratics Worksheet — Level 1 — Answers
Factorise each quadratic.
1.Factorise: x2 + 9x + 8
Answer: (x + 1)(x + 8)
- Find two numbers that multiply to 8 and add to 9: 1 and 8
2.Factorise: x2 − 2x − 48
Answer: (x − 8)(x + 6)
- Find two numbers that multiply to −48 and add to −2: −8 and 6
3.Factorise: x2 + 8x − 9
Answer: (x − 1)(x + 9)
- Find two numbers that multiply to −9 and add to 8: −1 and 9
4.Factorise: x2 + 4x + 3
Answer: (x + 1)(x + 3)
- Find two numbers that multiply to 3 and add to 4: 1 and 3
5.Factorise: x2 + 2x − 15
Answer: (x + 5)(x − 3)
- Find two numbers that multiply to −15 and add to 2: 5 and −3
6.Factorise: x2 + 13x + 36
Answer: (x + 4)(x + 9)
- Find two numbers that multiply to 36 and add to 13: 4 and 9
7.Factorise: x2 + 2x − 63
Answer: (x − 7)(x + 9)
- Find two numbers that multiply to −63 and add to 2: −7 and 9
8.Factorise: x2 − 9x + 18
Answer: (x − 6)(x − 3)
- Find two numbers that multiply to 18 and add to −9: −6 and −3
9.Factorise: x2 + 12x + 35
Answer: (x + 5)(x + 7)
- Find two numbers that multiply to 35 and add to 12: 5 and 7
10.Factorise: x2 + 4x − 21
Answer: (x − 3)(x + 7)
- Find two numbers that multiply to −21 and add to 4: −3 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.