Factoring of All Types

Factor

p³ - 3p² - 16p + 48

Hint:

Group Factor First

Difference of Square Factor Second

• p² ( p - 3) (p - 3)

• (p² - 16) (p - 3)

• (p - 3) (p + 4) (p - 4)

• (p - 3) (p² - 16)

Factor the Difference of Squares 9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Not Factorable

Common Factor

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• Not Factorable

Factor the Difference of Squares

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Factor.

18x² - 50

Hint:

Common Factor First

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

x³+7x²-2x-14

Hint:

Group Factor

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor the Simple Trinomial

x²-2x-15

• (x+5)(x-3)

• (x-5)(x-3)

• (x-5)(x+3)

• (x+5)(x+3)

Factor the complex trinomial

3x²-8x+4

• (3x-4)(x-1)

• (3x-2)(x-2)

• (x+1)(3x+4)

• (x+2)(3x+2)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor
k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)