GCF and Difference of Squares Factoring

What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction

Factor using GCF: 3x^3+9x^2-15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

• Yes, because the teacher is always right!

• No, because 9 doesn't divide into 18 and 36. There are too many variables.

Which of these can ONLY BE factored using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Find GCF first, then use difference of squares to factor:

What factoring method should I use?

• GCF

• Grouping

• Difference of Squares

• Trial and Error

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

• (x - 5)

• (x - 5x)

• (x - 5)

• ²(1 - 5)

Factor by using GCF:
Remember that the answer should be written as GCF(quotient)

• 25(10x³ + 45x - 15)

• 5(2x³ + 3x² - x)

• x(10x³ + 15x - 5)

• 5(2x² + 3x - 1)

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x + 7y³) 

• ( 3x - 7y³) (3x - 7y³) 

• Prime