Factorise quadratics x² + bx + c
9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2, HSA.SSE.B.3.A · England: GCSE Foundation Algebra
Name
Date
Score/ 16
Question 1
Factorise fully: x² + 7x + 10
Answer
Question 2
Factorise: x² + 7x + 10
- A. (x + 5)(x − 2)
- B. (x + 5)(x + 2)
- C. (x + 7)(x + 1)
- D. (x + 10)(x + 1)
Question 3
Factorise fully: x² + 4x − 21
Answer
Question 4
Factorise: x² − 7x + 12
- A. (x − 3)(x − 4)
- B. (x + 12)(x + 1)
- C. (x − 7)(x + 1)
- D. (x + 3)(x + 4)
Question 5
Factorise fully: x² − 13x + 40
Answer
Question 6
Factorise: x² − x − 12
- A. (x − 12)(x + 1)
- B. (x + 3)(x + 4)
- C. (x + 3)(x − 4)
- D. (x − 3)(x + 4)
Question 7
Factorise fully: x² + 3x − 4
Answer
Question 8
Factorise: x² − 49
- A. (x)(x + 1)
- B. (x + 7)(x − 7)
- C. (x − 7)(x + 7)
- D. (x + 7)(x + 7)
Question 9
Factorise fully: x² − 2x − 15
Answer
Question 10
Factorise: x² − 13x + 42
- A. (x + 6)(x + 7)
- B. (x − 6)(x − 7)
- C. (x + 42)(x + 1)
- D. (x − 13)(x + 1)
Question 11
Factorise fully: x² − x − 6
Answer
Question 12
Factorise: x² + 4x − 12
- A. (x + 4)(x + 1)
- B. (x − 12)(x + 1)
- C. (x − 2)(x + 6)
- D. (x − 2)(x − 6)
Question 13
Factorise fully: x² − x − 6
Answer
Question 14
Factorise: x² − 2x − 8
- A. (x − 2)(x + 1)
- B. (x − 8)(x + 1)
- C. (x + 2)(x + 4)
- D. (x + 2)(x − 4)
Question 15
Factorise fully: x² − x − 20
Answer
Question 16
Factorise: x² − 3x − 10
- A. (x + 5)(x − 2)
- B. (x − 3)(x + 1)
- C. (x − 5)(x − 2)
- D. (x − 5)(x + 2)
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