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Take out the greatest common factor of a polynomial

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

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Date

Score/ 16

1
Question 1
What is the greatest common factor of 8x⁴y and 2x³y?
- A. 4x³y
- B. 2x³y
- C. 8x³y
- D. 2x³
Question 2
Factorise by taking out −3x: −9x² + 21x = −3x( … ). Type what goes inside the bracket.
Answer
Question 3
Complete the factorisation: 8x³ − 20x² + 16x = 4x( … ). Type what goes inside the bracket.
Answer
4
Question 4
What is the greatest common factor of 2xy³ and 8xy?
- A. 8xy
- B. 2x
- C. 2xy
- D. 4xy
Question 5
Factorise by taking out −5x: −15x² + 5x = −5x( … ). Type what goes inside the bracket.
Answer
Question 6
Complete the factorisation: 30x⁴ − 24x³ − 6x² = 6x²( … ). Type what goes inside the bracket.
Answer
7
Question 7
What is the greatest common factor of 24xy³ and 18x⁴y?
- A. 6x⁴y³
- B. 72xy
- C. 18xy
- D. 6xy
Question 8
Factorise by taking out −5x: −20x² + 5x = −5x( … ). Type what goes inside the bracket.
Answer
Question 9
Complete the factorisation: 6x³ + 24x² − 6x = 6x( … ). Type what goes inside the bracket.
Answer
10
Question 10
What is the greatest common factor of 6x²y and 15x⁴y²?
- A. 3x²y
- B. 3x²
- C. 3x⁴y²
- D. 30x²y
Question 11
Factorise by taking out −5x: −15x² + 5x = −5x( … ). Type what goes inside the bracket.
Answer
Question 12
Complete the factorisation: 4x³ + 2x² − 8x = 2x( … ). Type what goes inside the bracket.
Answer
13
Question 13
What is the greatest common factor of 9x⁵y⁴ and 21x³y⁴?
- A. 3x⁵y⁴
- B. 3x³
- C. 9x³y⁴
- D. 3x³y⁴
Question 14
Factorise by taking out −4x: −8x² + 12x = −4x( … ). Type what goes inside the bracket.
Answer
Question 15
Complete the factorisation: 20x³ − 20x² − 12x = 4x( … ). Type what goes inside the bracket.
Answer
16
Question 16
What is the greatest common factor of 6x²y and 14xy³?
- A. 2xy
- B. 2x²y³
- C. 42xy
- D. 6xy

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