Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 11 quadratics worksheet.
Year 11 · Mathematics · Quadratics
Year 11 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Success Tutoring
Factorise, then use the null factor law.
1.Solve: 2x2 + 11x − 6 = 0
Answer: x = or x = −6
- Factorise: (2x − 1)(x + 6) = 0
- 2x − 1 = 0 gives x =
- x + 6 = 0 gives x = −6
2.Solve: 2x2 + 11x + 12 = 0
Answer: x = − or x = −4
- Factorise: (2x + 3)(x + 4) = 0
- 2x + 3 = 0 gives x = −
- x + 4 = 0 gives x = −4
3.Solve: 3x2 + x − 10 = 0
Answer: x = or x = −2
- Factorise: (3x − 5)(x + 2) = 0
- 3x − 5 = 0 gives x =
- x + 2 = 0 gives x = −2
4.Solve: 2x2 + 18x + 40 = 0
Answer: x = -4 or x = −5
- Factorise: (2x + 8)(x + 5) = 0
- 2x + 8 = 0 gives x = -4
- x + 5 = 0 gives x = −5
5.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
6.Solve: 2x2 + 23x + 45 = 0
Answer: x = − or x = −9
- Factorise: (2x + 5)(x + 9) = 0
- 2x + 5 = 0 gives x = −
- x + 9 = 0 gives x = −9
7.Solve: 3x2 − 17x + 24 = 0
Answer: x = or x = 3
- Factorise: (3x − 8)(x − 3) = 0
- 3x − 8 = 0 gives x =
- x − 3 = 0 gives x = 3
8.Solve: 3x2 + 33x + 54 = 0
Answer: x = -2 or x = −9
- Factorise: (3x + 6)(x + 9) = 0
- 3x + 6 = 0 gives x = -2
- x + 9 = 0 gives x = −9
9.Solve: 3x2 − 24x + 21 = 0
Answer: x = 1 or x = 7
- Factorise: (3x − 3)(x − 7) = 0
- 3x − 3 = 0 gives x = 1
- x − 7 = 0 gives x = 7
10.Solve: 3x2 − 24x + 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
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