5.4 Notes Video Part 1

Where did the x in front of the parentheses come from in this problem?

• You automatically factor out whatever the variable is.

• It is the GCF that was found by doing the factor trees.

How did we get y² - 9 when we factored the first time?

• Take each of the original terms and divide by the GCF.

• Take each of the original terms and subtract the GCF.

• Take each of the original terms and multiply by the GCF.

What is the formula for factoring a difference of squares?

• a² - b² = (a - b)(a + b)

• a² + b² = (a - b)(a + b)

• a² - b² = (a + b)(a + b)

• a² - b² = (a - b)(a - b)

What do you cube that gives you 8?

• 2

• 3

• 4

What do you cube to get 64?

• 2

• 4

• 8

• 16

What is the formula for factoring a difference of cubes?

• a³ - b³ = (a - b)(a² + ab + b²)

• a³ - b³ = (a + b)(a² - ab + b²)

• a³ + b³ = (a - b)(a² + ab + b²)