Advanced Factoring

Complete the formula

a³+b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Complete the formula
a³-b³=

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)

Factor and solve. p³ - 3p² - 16p + 48=0

• 16, 3

• -3, 3, 4

• 4, -4, 3

• -16, -3

Identify if the expression can be factored as sum or difference of cubes:

3x³ + 24

• No

• Yes

• Yes, getting GCF first

• It is a sum of squares

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Use the X-Puzzle

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)

• (2x - 5)(x² + 4)

• (2x² - 4)(x + 5)

• (x - 2)(x + 2)(2x + 5)

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Factor
4x²-25x+25

• 4(x-5)(x+5)

• (x+5)(4x+5)

• (x-5)(4x-5)

• (x+2)(9x+1)

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

Factor:
2x² + 13x + 15

• (2x + 1)(x + 15)

• (x + 3)(x + 5)

• (2x - 3)(x - 5)

• (2x + 3)(x + 5)