Factoring Greatest Common Factors

Find the greatest common factor of
6x⁴y³ - 12x⁴y² + 6x³y²

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

The GCF is 13xy²z³. What is one possible option for polynomials with this GCF?

• 65x³y⁴z³ and 26xy²z¹⁸

• 13x²y²z² and 13x²y²z³

• 13xyz and 26x¹²y³z⁶

• 65x⁴y⁵z⁶ and 130xy²z³

What is the Greatest Common Factor of the following polynomial?
12t³ + 30t² + 48t

• 12t

• 6t³

• 6t

• 12t³

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

What is the GCF of 10a²b³ and 20a²b²?

• 20a²b³

• 10a²b³

• 20ab²

• 10a²b²

Determine the greatest common factor of 
-5j³k⁷m² and -20jk²m⁵

• -5jk²m²

• -20j³k⁷m⁵

• -5j³k⁷m⁵

• -20jk²m²

Find the GCF between the following: 
120w³, 40w²x⁵, and 8w⁷x²y

• 120w⁷x⁵y

• 120w²x²y

• 8w²x²y

• 8w²

What is the GCF of the polynomial
24x⁹ - 36x⁶ + 60x³?

• 6x

• 6x³

• 24x⁹

• 24x

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

• The constants and variables that are the smallest

• The constants and variables that are the largest

• The largest combination of constants and variables you can "pull out" of a polynomial

• The common factor that is the greatest

Why do we need to find the GCF of polynomials? Choose the BEST option.

• Because Ms. Cooper and Ms. Glefke said so

• To simplify the polynomials as much as possible before working with them

• To get rid of stuff

• Because the GCF makes the problem impossible to solve