Polynomials-Factoring

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)

Factor  $x^2\ -\ 25y^2$  completely

•  $(x+12.5y)(x-12.5y)$  

•  $(x+5y)(x-5y)$  

•  $\left(x\ -\ 5y\right)^2$  

•  $(x+5y)^2$  

Factor  $y^{2\ }-196$ 

•  $\left(y-13\right)\left(y\ +13\right)$  

•  $\left(y+14\right)\left(y-14\right)$  

•  $\left(y-13\right)\left(y\ +14\right)$  

•  $\left(y-14\right)^2$  

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)
• (5x - 3)(x - 2)
• 5(x - 3)(x + 2)
• Not factorable

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

 $Factor:\ \ x^3-1000$  

•  $\left(x-10\right)\left(x^2-10x+100\right)$  

•  $\left(x-1000\right)\left(x^2+20x+100\right)$  

•  $\left(x-10\right)\left(x^2+10x+100\right)$  

•  $\left(x-100\right)\left(x+10x+100\right)$  

 $Factor:\ \ 125a^3-64b^3$  

•  $\left(5a-4b\right)\left(25a^2-20ab+16b^2\right)$  

•  $\left(25a-16b\right)\left(5a^2+20ab+4b^2\right)$  

•  $\left(5a-4b\right)\left(25a^2+20ab+16b^2\right)$  

•  $\left(25-4b\right)\left(5a^2-40ab+16b^2\right)$