Free Printable Factor GCF (Algebra)

Worksheets

Factor GCF (Algebra)

Total questions: 20

Worksheet time: 2mins

Name

Class

Date

2x + 4

2(x + 2)

2(x + 4)

4(x + 4)

4(x + 2)

5x² + 20

5(x + 4)

5x(x + 4)

5(x² + 4)

5x²(x + 4)

x⁵ + x⁴ + x²

x³(x² + x + 1)

x(x⁴ + x³ + x)

x²(x³ + x²)

x²(x³ + x² + 1)

3x²y² + 14x²y + 15x

y(3x²y + 14x² + 15x)

xy(3xy + 14x + 15)

x²(3y² + 14y + 15)

x(3xy² + 14xy + 15)

15x⁴ + 20x³ - 25x

5x²(3x² + 4x - 5)

5x(3x³ + 4x² - 5x)

5x(3x³ + 4x² - 5)

5(3x⁴ + 4x³ - 5x)

6x²y - 18xy²

6(x - 3y)

6xy(x - 3y)

6xy²(x - 3)

6x²y(3y - 1)

4x²yz²- 14xy²z

xyz(4xz - 14y)

2xyz(2xz - 7y)

2xyz(2xy - 7z)

xyz(4xy - 14z)

10x²y⁵ + 25x⁴y²

5x²y²(5y³ + 2x²)

5x²y²(2y³ + 5x²)

5x²y²(5x² + 5y³)

5x²y²(2x² + 2y³)

24x² + 30

6(4x² + 5)

6x(4x + 5)

2(12x² + 15)

2x(12x + 15)

10.

10x³ + 30x² + 20xy

5x(2x² + 6x + 4y)

10x(x² + 3x + 2y)

10x(x² + 3x + 2)

5x(2x² + 6x + 4)

11.

15x²y⁴ + 21x³y⁷

xy(15xy³ + 21x²y⁶)

3xy(5xy³ + 6x²y⁶)

x²y⁴(15 + 21xy³)

3x²y⁴(5 + 7xy³)

12.

12x² + 16x + x

x(12x + 17)

4x(3x + 4)

4(3x + 4)

x²(12x + 17)

13.

13y³ - 25y + y

y(13y² + 24)

13y(y² + 2)

y(13y² - 24)

13y(y² - 2)

14.

15x³ + 20x² - 22x + 3x

x(15x² + 20x - 25)

5(3x² + 4x - 5)

x(15x² + 20x - 19)

5x(3x² + 4x - 5)

15.

23x⁹ + 42x⁶ - 11x⁵ + 5x²

x²(23x⁷ - 42x⁴ - 11x³ + 5)

x²(23x⁷ + 42x⁴ - 11x³ + 5x)

x(23x⁸ + 42x⁵ - 11x⁴ + 5x)

x²(23x⁷ + 42x⁴ - 11x³ + 5)

16.

63x⁶y⁸ + 28x¹⁰y⁴ - 42x¹²y¹⁰

7x⁶y⁴(9y⁴ + 4x⁴ - 6x⁶y⁶)

7x⁶y⁸(9 + 4x⁴ - 6x⁶y²)

7x⁶y⁴(9y⁴ + 4x⁵ - 6x⁶y⁶)

7x²y²(9x⁴y⁶ + 4x⁸y² - 6x¹⁰y⁸)

17.

Question: 30x² - 20x + 15. The answer is 5(6x² - 4x + 3). True or false. If false, why?

True.

False, because 5 is not a GCF.

False, because 5x is a GCF.

False, because 15 is a GCF.

18.

Question: 20x² - 16x + 2x. The answer is

2x(10x - 9). True or false. If false, change the correct answer.

True.

False, the correct answer is 2x(10x - 7)

False, the correct answer is 2(10x + 7)

False, the correct answer is 2x(10x + 7)

19.

Factor 8x² + 6x. Choose all the pieces that apply.

20.

Factor x²y + xy² - x²y³. Choose all the pieces that apply.

xy²

100 %

Factor GCF (Algebra)

Total questions: 20

Worksheet time: 2mins

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