Greatest Common Factor with Variables

What is the GCF?

3x+9

• x

• 3

• 9

• 3x

What is the GCF?

18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

What is the GCF?

2x²-4x+8

• 2x

• 2

• x

• 1

What is the greatest common factor of the trinomial?

24m³n⁵p + 6mn⁴p² + 4mn⁵

• 2mn

• 24mn⁴

• 2mn⁴

• 2mn⁴p

Factor:

4x + 6

• 4(x + 2)

• 2(2x + 3)

• 2(2x + 4)

• 4(x + 2/3)

Factor:

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:

5k³ + 7k² + k

• 5k(k² +2k + 1)

• 7k(5k² +k + 1)

• k(5k² + 7k + 1)

• 5k³ + 7k² + k

Factor:

12j²k³ - 20hj

• 4j(3jk³ - 5h)

• 4j(6jk³ - 10h)

• 4j(3jk² - 5h)

• 4j²(24j²k³ - 20h)

Factor:

-10xy⁹z + 8y³z⁵

• 2y⁴z(-20xy⁶ + 4z⁴)

• 2y³z(-5xy⁶ +4z⁴)

• 2y³z(-5xy⁶z + 4z⁵)

• 2y³z(-5xy⁶z + 8z⁴)

Which of the following is the BEST 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