10.1 - Factoring GCFs

Multiple Choice

What is the GCF of 4 and 12?

• 3
• 1
• 6
• 4

Multiple Choice

What is the GCF of 20 and 30?

• 5
• 2
• 10
• 20

Multiple Choice

GCF of 15 and 35

• 15
• 3
• 7
• 5

Multiple Choice

What is the factored form of 3x+24y?

• 3(x+8y)

• 3xy(x+8y)

• 3(3x+24y)

• 3xy(3x+24y)

Multiple Choice

What is the completely factored form of the expression 16x² + 8x + 32?

• 4(4x² + 2x + 8)

• 4(12x² + 4x + 28)

• 8(2x² + x + 4)

• 8x(8x² + x + 24)

Multiple Choice

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Multiple Choice

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Multiple Choice

Find the factors

$$24m^4n^2\ -\ 16m^3n^3$$  

• $$4m^3n^2\left(6m\ -\ 4n\right)$$  

• $$8mn\ \left(3m^4n^2\ -\ 2m^3n^3\right)$$  

• $$8m^3n^2\ \left(3m\ -\ 2n\right)$$  

• $$8m^3n^2\ \left(3mn\ -\ 2mn\right)$$  

Multiple Choice

Factor completely.

$$36ab\ +\ 20bc$$  

• $$4b\ \left(9a\ +\ 5c\right)$$  

• $$2b\left(18a\ +\ 10c\right)$$  

• $$4abc\ \left(9a\ +\ 5c\right)$$  

• $$4\ \left(9ab\ +\ 5bc\right)$$  

Multiple Choice

Find ALL the factors

$$12x^{10}y^5\ +\ 8x^7y^2$$  

• $$\left(3x^3y^3\ +\ 2\right)$$  

• $$4x^7y^2\ \left(3x^3y^3\ +\ 2\right)$$  

• $$4x^7y^2\ \left(8x^3y^3\ +\ 4\right)$$  

• $$4x^7y^2\ \left(\ 3x^{17}y^7\ +\ 2xy\right)$$