Year 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · QuadraticsYear 10 Factorising and Solving Quadratics Worksheet — Level 3 — Answers
Factorise, then use the null factor law.
1.Solve: 3x2 + 10x − 8 = 0
Answer: x = or x = −4
- Factorise: (3x − 2)(x + 4) = 0
- 3x − 2 = 0 gives x =
- x + 4 = 0 gives x = −4
2.Solve: 3x2 − 14x + 15 = 0
Answer: x = or x = 3
- Factorise: (3x − 5)(x − 3) = 0
- 3x − 5 = 0 gives x =
- x − 3 = 0 gives x = 3
3.Solve: 2x2 − 18x + 36 = 0
Answer: x = 3 or x = 6
- Factorise: (2x − 6)(x − 6) = 0
- 2x − 6 = 0 gives x = 3
- x − 6 = 0 gives x = 6
4.Solve: 3x2 + 16x + 16 = 0
Answer: x = − or x = −4
- Factorise: (3x + 4)(x + 4) = 0
- 3x + 4 = 0 gives x = −
- x + 4 = 0 gives x = −4
5.Solve: 2x2 + 2x − 4 = 0
Answer: x = -2 or x = 1
- Factorise: (2x + 4)(x − 1) = 0
- 2x + 4 = 0 gives x = -2
- x − 1 = 0 gives x = 1
6.Solve: 3x2 + 13x + 4 = 0
Answer: x = − or x = −4
- Factorise: (3x + 1)(x + 4) = 0
- 3x + 1 = 0 gives x = −
- x + 4 = 0 gives x = −4
7.Solve: 2x2 + 12x + 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
8.Solve: 2x2 + 25x + 72 = 0
Answer: x = − or x = −8
- Factorise: (2x + 9)(x + 8) = 0
- 2x + 9 = 0 gives x = −
- x + 8 = 0 gives x = −8
9.Solve: 2x2 + 5x − 25 = 0
Answer: x = or x = −5
- Factorise: (2x − 5)(x + 5) = 0
- 2x − 5 = 0 gives x =
- x + 5 = 0 gives x = −5
10.Solve: 2x2 − 6x − 8 = 0
Answer: x = 4 or x = −1
- Factorise: (2x − 8)(x + 1) = 0
- 2x − 8 = 0 gives x = 4
- x + 1 = 0 gives x = −1
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