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Factorise ax² + bx + c

10th grade (Year 11 in England) · 16 questions · Common Core: HSA.SSE.A.2 · England: GCSE Higher Algebra

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Score/ 16

1
Question 1
Factorise: 5x² − 9x − 18
- A. (5x − 3)(x + 6)
- B. (5x − 6)(x + 3)
- C. (x + 6)(5x − 3)
- D. (5x + 6)(x − 3)
2
Question 2
Factorise: 4x² + 4x − 8
- A. (4x + 4)(x − 2)
- B. (x − 4)(4x + 2)
- C. (4x + 2)(x − 4)
- D. (4x − 4)(x + 2)
3
Question 3
Factorise: 5x² + 14x − 24
- A. (5x + 4)(x − 6)
- B. (5x + 6)(x − 4)
- C. (x − 6)(5x + 4)
- D. (5x − 6)(x + 4)
4
Question 4
Factorise: 3x² + 7x + 4
- A. (3x + 4)(x + 1)
- B. (x + 4)(3x + 1)
- C. (3x + 1)(x + 4)
- D. (3x − 4)(x − 1)
5
Question 5
Factorise: 4x² + 22x − 12
- A. (4x − 2)(x + 6)
- B. (4x + 2)(x − 6)
- C. (x − 2)(4x + 6)
- D. (4x + 6)(x − 2)
6
Question 6
Factorise: 2x² − 2x − 4
- A. (2x − 4)(x + 1)
- B. (2x + 4)(x − 1)
- C. (2x + 1)(x − 4)
- D. (x − 4)(2x + 1)
7
Question 7
Factorise: 2x² − 7x − 30
- A. (2x − 6)(x + 5)
- B. (2x + 5)(x − 6)
- C. (x + 5)(2x − 6)
- D. (2x − 5)(x + 6)
8
Question 8
Factorise: 4x² − 22x + 10
- A. (4x − 2)(x − 5)
- B. (x − 2)(4x − 5)
- C. (4x + 2)(x + 5)
- D. (4x − 5)(x − 2)
9
Question 9
Factorise: 2x² − 13x + 21
- A. (2x − 3)(x − 7)
- B. (2x − 7)(x − 3)
- C. (2x + 7)(x + 3)
- D. (x − 7)(2x − 3)
10
Question 10
Factorise: 5x² + 22x + 21
- A. (5x − 7)(x − 3)
- B. (5x + 7)(x + 3)
- C. (x + 7)(5x + 3)
- D. (5x + 3)(x + 7)
11
Question 11
Factorise: 5x² + 27x + 28
- A. (x + 7)(5x + 4)
- B. (5x − 7)(x − 4)
- C. (5x + 7)(x + 4)
- D. (5x + 4)(x + 7)
12
Question 12
Factorise: 2x² − 2x − 12
- A. (2x − 3)(x + 4)
- B. (2x + 4)(x − 3)
- C. (x + 4)(2x − 3)
- D. (2x − 4)(x + 3)
13
Question 13
Factorise: 2x² − 11x + 14
- A. (2x − 7)(x − 2)
- B. (2x − 2)(x − 7)
- C. (x − 7)(2x − 2)
- D. (2x + 7)(x + 2)
14
Question 14
Factorise: 4x² + 5x − 21
- A. (4x + 3)(x − 7)
- B. (x − 7)(4x + 3)
- C. (4x − 7)(x + 3)
- D. (4x + 7)(x − 3)
15
Question 15
Factorise: 5x² + 26x + 24
- A. (5x − 6)(x − 4)
- B. (x + 6)(5x + 4)
- C. (5x + 4)(x + 6)
- D. (5x + 6)(x + 4)
16
Question 16
Factorise: 4x² + 6x − 18
- A. (4x − 6)(x + 3)
- B. (4x + 6)(x − 3)
- C. (4x + 3)(x − 6)
- D. (x − 6)(4x + 3)

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