GCF & Grouping

Multiple Choice

What are all of the factors of 12?

• 1 and 12

• 1, 2, 3, 4, & 6

• 1, 2, 3, 4, 6, & 12

• 1, 2, 3, 4, 6, 10, & 12

• 12, 24, 36, 48, 72 , 84...

Multiple Choice

Which pair of numbers has a GCF of 8?

• 8, 36

• 40, 80

• 16, 56

• 24, 42

Multiple Choice

What is the GCF of 12 and 30?

• 2

• 4

• 6

• 8

• 12

Multiple Choice

Find the GCF of 64 and 144

• 8

• 6

• 16

• 2

Multiple Choice

What is the GCF of 18k and 15k³

• 3k²

• 3k³

• 3k

• 5k

Multiple Choice

What is the GCF of

$$24xy^2,\ 36x^3y^5z,\ and\ 18x^2y^3z^2$$  

• $$6xy^2$$  

• $$6x^3y^5z^2$$  

• $$12xyz$$  

• $$12xy^2$$  

Multiple Choice

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Multiple Choice

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Multiple Choice

Factor:
10a⁴+16a+10a²

• 2a(5a³⁺8+5a)

• 2a⁴(5a+8a²+5a³)

• 2a⁴(10+16a+40a²)

• 3a³(5+8a+a²)

Multiple Choice

Factor
-64a⁴b - 96ab³ + 8a

• -8a(8a³b + 12b³ - a)

• -8ab(8a³ - 12b² - 1)

• 8a(8a³b - 12b² + 1)

• -8a(8a³b + 12b³ - 1)

Multiple Choice

Factor by grouping: $$x^3-4x^2-4x+16$$  

• $$\left(x+4\right)\left(x+2\right)$$  

• $$\left(x-4\right)\left(x^2-4\right)$$  

• $$\left(x+4\right)\left(x^2-4\right)$$  

• $$\left(x-4\right)\left(x-2\right)$$  

Multiple Choice

Factor by grouping:

$$x^3+7x^2-2x-14$$  

• $$\left(x^2-2\right)\left(x-7\right)$$  

• $$\left(x^2+2\right)\left(x+7\right)$$  

• $$\left(x^2+2\right)\left(x-7\right)$$  

• $$\left(x^2-2\right)\left(x+7\right)$$  

Multiple Choice

What is the factored form of $$5n^3-10n^2+3n-6$$  ?

• $$\left(5n^2+3\right)\left(n-2\right)$$  

• $$\left(5n^2-3\right)\left(n-2\right)$$  

• $$\left(5n^3+3\right)\left(n-2\right)$$  

• $$10n\left(n^2-6\right)$$