Factoring Out Polynomials

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor Completely: x²-7x-8

• (x+1)(x-8)

• (x+1)(x+8)

• 5(x+4)(x+5)

• (x-1)(x+8)

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

Write 4x³ +2x²-6x in factored form.

• 2x(2x-3)(x+1)

• 4x(2x+3)(x-1)

• 2x(2x+3)(x-1)

• 4x(2x-3)(x+1)

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

What method should you use to factor the polynomial?

n³-216

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

• Sum of 2 Cubes

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

What is the GCF of the trinomial?
3x² - 9x -120

• 3

• 2

• 6

• 9