Factoring Polynomial Functions

What is the factored form of

x³ + 7x² - 2x -14 ?

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)

Solve by Factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)

x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4) 

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)

• 2n²(4n + 1)

• n²(8n+2)

• 3n(4n+1)

25x²y² - 100

• ( 5xy - 10) (5xy + 10) 

• ( 5xy + 10) (5xy + 10) 

• Prime

• ( 5xy - 50) (5xy + 50) 

x³ + 64

• (x + 3)(x² - 3x + 9)

• (x + 5)(x² - 5x + 25)

• (x + 4)(x² - 4x + 16)

• (x - 4)(x² + 4x + 16)

Solve by grouping

x³ - 4x² -4x + 16

• 4 and 2

• -2, 2, 4

• -4 and 4

• -2 and-4

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27X³-343? 

• DIFFERENCE OF TWO CUBES

• DIFFERENCE OF TWO SQUARES 

• FACTORING BY GCF 

Factor using differencesum/ of cubes.  (use your notes!)
a³ + b³

• (a-b)(a²+ab+b²)

• (a+b)(a²-ab+b²)

• (a-b)(a²-ab+b²)

• (a+b)(a²+ab+b²)