Year 11 Factorising and Solving Quadratics Worksheet — Level 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 — Answers
Factorise, then use the null factor law.
1.Solve: 2x2 − 20x + 48 = 0
Answer: x = 4 or x = 6
- Factorise: (2x − 8)(x − 6) = 0
- 2x − 8 = 0 gives x = 4
- x − 6 = 0 gives x = 6
2.Solve: 3x2 − 6x − 24 = 0
Answer: x = -2 or x = 4
- Factorise: (3x + 6)(x − 4) = 0
- 3x + 6 = 0 gives x = -2
- x − 4 = 0 gives x = 4
3.Solve: 3x2 − 12x − 36 = 0
Answer: x = -2 or x = 6
- Factorise: (3x + 6)(x − 6) = 0
- 3x + 6 = 0 gives x = -2
- x − 6 = 0 gives x = 6
4.Solve: 2x2 + 8x − 24 = 0
Answer: x = 2 or x = −6
- Factorise: (2x − 4)(x + 6) = 0
- 2x − 4 = 0 gives x = 2
- x + 6 = 0 gives x = −6
5.Solve: 2x2 + 16x + 24 = 0
Answer: x = -2 or x = −6
- Factorise: (2x + 4)(x + 6) = 0
- 2x + 4 = 0 gives x = -2
- x + 6 = 0 gives x = −6
6.Solve: 3x2 − 23x + 14 = 0
Answer: x = or x = 7
- Factorise: (3x − 2)(x − 7) = 0
- 3x − 2 = 0 gives x =
- x − 7 = 0 gives x = 7
7.Solve: 3x2 − 2x − 8 = 0
Answer: x = − or x = 2
- Factorise: (3x + 4)(x − 2) = 0
- 3x + 4 = 0 gives x = −
- x − 2 = 0 gives x = 2
8.Solve: 3x2 − 24x − 27 = 0
Answer: x = -1 or x = 9
- Factorise: (3x + 3)(x − 9) = 0
- 3x + 3 = 0 gives x = -1
- x − 9 = 0 gives x = 9
9.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
10.Solve: 2x2 − x − 15 = 0
Answer: x = − or x = 3
- Factorise: (2x + 5)(x − 3) = 0
- 2x + 5 = 0 gives x = −
- x − 3 = 0 gives x = 3
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