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Factorise x² + bx + c when c is negative

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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Date

Score/ 16

Question 1
x² − x − 6 = (x + 2)(x + ☐). What number goes in the box?
Answer
2
Question 2
Factorise: x² − 7x − 60
- A. (x + 5)(x − 12)
- B. (x − 5)(x + 12)
- C. (x + 5)(x + 12)
- D. (x − 5)(x − 12)
Question 3
x² − 3x − 10 = (x + 2)(x + ☐). What number goes in the box?
Answer
4
Question 4
Factorise: x² + 6x − 40
- A. (x + 10)(x − 4)
- B. (x + 10)(x + 4)
- C. (x − 10)(x + 4)
- D. (x − 10)(x − 4)
Question 5
x² − 4x − 45 = (x + 5)(x + ☐). What number goes in the box?
Answer
6
Question 6
Factorise: x² − 5x − 84
- A. (x + 7)(x − 12)
- B. (x − 7)(x − 12)
- C. (x + 7)(x + 12)
- D. (x − 7)(x + 12)
Question 7
x² + 4x − 5 = (x + 5)(x + ☐). What number goes in the box?
Answer
8
Question 8
Factorise: x² + x − 20
- A. (x + 4)(x − 5)
- B. (x − 4)(x − 5)
- C. (x + 4)(x + 5)
- D. (x − 4)(x + 5)
Question 9
x² − x − 6 = (x + 2)(x + ☐). What number goes in the box?
Answer
10
Question 10
Factorise: x² + 3x − 54
- A. (x − 9)(x + 6)
- B. (x − 9)(x − 6)
- C. (x + 9)(x − 6)
- D. (x + 9)(x + 6)
Question 11
x² − 3x − 4 = (x + 1)(x + ☐). What number goes in the box?
Answer
12
Question 12
Factorise: x² + 3x − 88
- A. (x − 11)(x − 8)
- B. (x + 11)(x − 8)
- C. (x + 11)(x + 8)
- D. (x − 11)(x + 8)
Question 13
x² + 6x − 7 = (x + 7)(x + ☐). What number goes in the box?
Answer
14
Question 14
Factorise: x² + 5x − 50
- A. (x + 10)(x + 5)
- B. (x + 10)(x − 5)
- C. (x − 10)(x − 5)
- D. (x − 10)(x + 5)
Question 15
x² + 4x − 12 = (x + 6)(x + ☐). What number goes in the box?
Answer
16
Question 16
Factorise: x² − 5x − 14
- A. (x + 2)(x + 7)
- B. (x − 2)(x − 7)
- C. (x − 2)(x + 7)
- D. (x + 2)(x − 7)

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