Factoring Types

Factor: w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

Factor:
x² - 9

• (x + 3)(x - 3)

• (x + 3)²

• (x - 3)²

• (x+3)(x+3)

Factor: x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Prime

• ( x - 20) ( x + 20)

Factor Completely: 4x² - 20x + 25

• (4x - 25) (x -1)

• (2x + 5) (2x - 5)

• (2x - 5)²

• (4x - 5) (x - 5)

What is the GCF? 5x²+20x

• 5

• x

• 5x

• 20x

1.) Factor the Difference of Squares:

81m² - 1

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Factor the Sum of Cubes: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x²+4)(9x + 2)

• (27x + 8)(x² - 216x + 64)

Factor the Difference of Cubes: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Factor the Simple Trinomial

x²-2x-15

• (x+5)(x-3)

• (x-5)(x-3)

• (x-5)(x+3)

• (x+5)(x+3)