Year 12 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — 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 — Practice Set 2 — Answers
Factorise each quadratic.
1.Factorise: x2 + 8x + 15
Answer: (x + 5)(x + 3)
- Find two numbers that multiply to 15 and add to 8: 5 and 3
2.Factorise: x2 − 4x − 45
Answer: (x + 5)(x − 9)
- Find two numbers that multiply to −45 and add to −4: 5 and −9
3.Factorise: x2 + 6x − 7
Answer: (x + 7)(x − 1)
- Find two numbers that multiply to −7 and add to 6: 7 and −1
4.Factorise: x2 − 3x − 18
Answer: (x + 3)(x − 6)
- Find two numbers that multiply to −18 and add to −3: 3 and −6
5.Factorise: x2 + 5x − 6
Answer: (x − 1)(x + 6)
- Find two numbers that multiply to −6 and add to 5: −1 and 6
6.Factorise: x2 − x − 42
Answer: (x − 7)(x + 6)
- Find two numbers that multiply to −42 and add to −1: −7 and 6
7.Factorise: x2 + 11x + 28
Answer: (x + 4)(x + 7)
- Find two numbers that multiply to 28 and add to 11: 4 and 7
8.Factorise: x2 − 14x + 49
Answer: (x − 7)(x − 7)
- Find two numbers that multiply to 49 and add to −14: −7 and −7
9.Factorise: x2 − x − 2
Answer: (x + 1)(x − 2)
- Find two numbers that multiply to −2 and add to −1: 1 and −2
10.Factorise: x2 − 3x + 2
Answer: (x − 2)(x − 1)
- Find two numbers that multiply to 2 and add to −3: −2 and −1
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.