Factoring Polynomials by GCF and Grouping

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

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

Use your knowledge on GCF's and Factoring by grouping to factor the following: 30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

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

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

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

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

• Because Ms. Rice 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

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)