Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · QuadraticsYear 11 Factorising and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers
Factorise, then use the null factor law.
1.Solve: 2x2 − 15x + 27 = 0
Answer: x = or x = 3
- Factorise: (2x − 9)(x − 3) = 0
- 2x − 9 = 0 gives x =
- x − 3 = 0 gives x = 3
2.Solve: 2x2 + 11x − 40 = 0
Answer: x = or x = −8
- Factorise: (2x − 5)(x + 8) = 0
- 2x − 5 = 0 gives x =
- x + 8 = 0 gives x = −8
3.Solve: 3x2 − 13x + 14 = 0
Answer: x = or x = 2
- Factorise: (3x − 7)(x − 2) = 0
- 3x − 7 = 0 gives x =
- x − 2 = 0 gives x = 2
4.Solve: 2x2 − 20x + 32 = 0
Answer: x = 2 or x = 8
- Factorise: (2x − 4)(x − 8) = 0
- 2x − 4 = 0 gives x = 2
- x − 8 = 0 gives x = 8
5.Solve: 3x2 − 9x − 12 = 0
Answer: x = -1 or x = 4
- Factorise: (3x + 3)(x − 4) = 0
- 3x + 3 = 0 gives x = -1
- x − 4 = 0 gives x = 4
6.Solve: 3x2 − 7x + 2 = 0
Answer: x = or x = 2
- Factorise: (3x − 1)(x − 2) = 0
- 3x − 1 = 0 gives x =
- x − 2 = 0 gives x = 2
7.Solve: 3x2 − 27 = 0
Answer: x = 3 or x = −3
- Factorise: (3x − 9)(x + 3) = 0
- 3x − 9 = 0 gives x = 3
- x + 3 = 0 gives x = −3
8.Solve: 2x2 + 17x + 35 = 0
Answer: x = − or x = −5
- Factorise: (2x + 7)(x + 5) = 0
- 2x + 7 = 0 gives x = −
- x + 5 = 0 gives x = −5
9.Solve: 2x2 − 4x − 16 = 0
Answer: x = -2 or x = 4
- Factorise: (2x + 4)(x − 4) = 0
- 2x + 4 = 0 gives x = -2
- x − 4 = 0 gives x = 4
10.Solve: 3x2 − 5x − 28 = 0
Answer: x = − or x = 4
- Factorise: (3x + 7)(x − 4) = 0
- 3x + 7 = 0 gives x = −
- x − 4 = 0 gives x = 4
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