factoring polynomials

Factor:

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor:  $16-x^4y^2$  

•  $\left(4+xy\right)\left(4-xy\right)$  

•  $\left(8+x^2y\right)\left(8-x^2y\right)$  

•  $\left(8+xy\right)\left(8-xy\right)$  

•  $\left(4+x^2y\right)\left(4-x^2y\right)$  

 $64x^2+112x+49$  Factor:

•  $\left(8x-7\right)\left(8x+7\right)$  

•  $\left(8x-7\right)^2$  

•  $\left(16x+7\right)^2$  

•  $\left(8x+7\right)^2$  

 $4x^2+20x+25$  Factor:

•  $\left(2x+5\right)\left(2x-5\right)$  

•  $\left(2x+5\right)^2$  

•  $\left(4x+5\right)^2$  

•  $\left(2x-5\right)^2$  

 $49x^2-144$  Factor:

•  $\left(7x-12\right)^2$  

•  $\left(7x+12\right)^2$  

•  $\left(7x-12\right)\left(7x+12\right)$  

•  $\left(4x+11\right)^2$  

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

125x³ - 64

• (5x - 4)(25x² + 20x + 16)

• (5x - 2)(25x² - 10x + 4)

• (5x - 4)(25x² -20x + 16)

• (5x -4)(25x² + 40x + 16)

8x³ + 27

• (2x + 3)(4x² + 6x + 9)

• (2x -3)(4x² +6x +9)

• (2x + 3)(4x² - 6x + 9)

• (2x +3)(4x² +12x +9)

Factor the Polynomial

6x³ - 16x² + 21x - 56

• (2x² + 7) (3x - 8)

• (2x² - 7) (3x + 8)

• (3x² + 7) (2x - 8)

• (3x² - 7) (2x + 8)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)