GCF and DOS Factoring

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

• (x - 5)

• (x - 5x)

• (x - 5)

• x²(1 - 5)

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

What factoring method should I use?

• GCF

• Grouping

• Difference of Squares

• Trial and Error

What is the GCF of 4 and 12?

• 3

• 1

• 6

• 4

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

Factor using GCF or monomial factoring: 2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

• 3x 

• 3

• 3x² 

• 12x³

• 12x²