GCF Factoring, Difference of Two Squares

What is the GCF?

• 5

• x

• 5x

• 20x

• (x - 5)

• (x - 5x)

• (x - 5)

• ²(1 - 5)

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

• 25(10x³ + 45x - 15)

• 5(2x³ + 3x² - x)

• x(10x³ + 15x - 5)

• 5(2x² + 3x - 1)

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

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

2x² - 18

• 2 (x² - 9)

• 2 (x + 3) (x - 3)

• 2 (x² - 3)

• Prime