Recognise and factorise perfect square trinomials
9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2 · England: GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Factorise: x² + 14x + 49
- A. (x + 7)(x − 7)
- B. (x + 7)²
- C. (x + 49)(x + 1)
- D. (x − 7)²
Question 2
What number c makes x² − 12x + c a perfect square?
Answer
Question 3
Factorise: 4x² + 12x + 9
- A. (4x + 3)²
- B. (2x + 9)²
- C. (2x − 3)²
- D. (2x + 3)²
Question 4
Factorise: x² + 12x + 36
- A. (x + 12)²
- B. (x − 6)²
- C. (x + 6)(x − 6)
- D. (x + 6)²
Question 5
What number c makes x² − 10x + c a perfect square?
Answer
Question 6
Factorise: 9x² − 42x + 49
- A. (3x + 49)²
- B. (9x − 7)²
- C. (3x − 7)²
- D. (3x − 7)(3x + 7)
Question 7
Factorise: x² − 4x + 4
- A. (x − 4)²
- B. (x + 2)²
- C. (x − 2)²
- D. (x − 2)(x + 2)
Question 8
What number c makes x² − 4x + c a perfect square?
Answer
Question 9
Factorise: 9x² − 12x + 4
- A. (9x − 2)²
- B. (3x − 2)²
- C. (3x + 2)²
- D. (3x + 4)²
Question 10
Factorise: x² + 8x + 16
- A. (x + 4)²
- B. (x − 4)²
- C. (x + 16)(x + 1)
- D. (x + 8)²
Question 11
What number c makes x² + 2x + c a perfect square?
Answer
Question 12
Factorise: 4x² + 12x + 9
- A. (2x + 9)²
- B. (2x + 3)²
- C. (4x + 3)²
- D. (2x − 3)²
Question 13
Factorise: x² + 8x + 16
- A. (x + 4)(x − 4)
- B. (x + 8)²
- C. (x + 4)²
- D. (x − 4)²
Question 14
What number c makes x² − 14x + c a perfect square?
Answer
Question 15
Factorise: 4x² − 4x + 1
- A. (2x + 1)²
- B. (2x − 1)(2x + 1)
- C. (2x − 1)²
- D. (4x − 1)²
Question 16
Factorise: x² + 16x + 64
- A. (x + 8)²
- B. (x − 8)²
- C. (x + 16)²
- D. (x + 8)(x − 8)
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