Take out the greatest common factor of a polynomial

Question 1

What is the greatest common factor of 12x⁵y² and 30x³y²?

• A. 6x³y²
• B. 6x⁵y²
• C. 60x³y²
• D. 12x³y²

Question 2

Factorise by taking out −2x: −10x² + 6x = −2x( … ). Type what goes inside the bracket.

Answer 

Question 3

Complete the factorisation: 6x³ − 15x² − 18x = 3x( … ). Type what goes inside the bracket.

Answer 

Question 4

What is the greatest common factor of 25x⁴y³ and 15x⁴y³?

• A. 5x⁴
• B. 75x⁴y³
• C. 15x⁴y³
• D. 5x⁴y³

Question 5

Factorise by taking out −5x: −25x² + 5x = −5x( … ). Type what goes inside the bracket.

Answer 

Question 6

Complete the factorisation: 6x³ − 36x² + 54x = 6x( … ). Type what goes inside the bracket.

Answer 

Question 7

What is the greatest common factor of 28x³y⁴ and 8xy³?

• A. 56xy³
• B. 8xy³
• C. 4xy³
• D. 4x³y⁴

Question 8

Factorise by taking out −2x: −6x² + 8x = −2x( … ). Type what goes inside the bracket.

Answer 

Question 9

Complete the factorisation: 12x⁴ − 20x³ + 20x² = 4x²( … ). Type what goes inside the bracket.

Answer 

Question 10

What is the greatest common factor of 14x²y and 4x⁵y²?

• A. 2x⁵y²
• B. 28x²y
• C. 2x²y
• D. 4x²y

Question 11

Factorise by taking out −3x: −3x² + 12x = −3x( … ). Type what goes inside the bracket.

Answer 

Question 12

Complete the factorisation: 20x³ − 30x² + 35x = 5x( … ). Type what goes inside the bracket.

Answer 

Question 13

What is the greatest common factor of 3x⁵y³ and 15x⁴y?

• A. 3x⁵y³
• B. 15x⁴y
• C. 6x⁴y
• D. 3x⁴y

Question 14

Factorise by taking out −5x: −10x² + 15x = −5x( … ). Type what goes inside the bracket.

Answer 

Question 15

Complete the factorisation: 8x³ − 4x² + 28x = 4x( … ). Type what goes inside the bracket.

Answer 

Question 16

What is the greatest common factor of 35x⁴y and 10x²y⁴?

• A. 5x²
• B. 5x²y
• C. 10x²y
• D. 5x⁴y⁴