Factoring Quadratics

 Factor completely:

 $30x^3-90x^2-80x$ 

•  $10x\left(3x^2-9x-8\right)$  

•  $x\left(30x^2-90x-80\right)$  

•  $10\left(3x^3-9x^2-8x\right)$  

•  $10x\left(-14x^3\right)$  

Factor completely:
 $2x^4+22x^3+44x^2$   

•  $x^2\left(2x^2+22x+44\right)$  

•  $2\left(x^4+11x^3+22x^2\right)$  

•  $2x^2\left(x^2+11x+22\right)$  

•  $x\left(2x^3+22x^2+44x\right)$  

Factor completely:
 $7d^5+28d^3+56d^2$  

•  $7\left(d^5+4d^3+8d^2\right)$  

•  $7d^2\left(d^3+4d+8\right)$  

•  $d^2\left(7d^3+4d+8\right)$  

•  $d\left(7d^4+28d^2+8d\right)$  

Factor completely:
 $72w^3-18w$  

•  $3w\left(24w^2-6\right)$  

•  $72w\left(4w^2-1\right)$  

•  $6\left(12w^3-3w\right)$  

•  $6w\left(12w^2-3\right)$  

Factor completely:
 $x^2+2x-15$  

•  $\left(x-3\right)\left(x+5\right)$  

•  $\left(x+3\right)\left(x+5\right)$  

•  $\left(x-3\right)\left(x-5\right)$  

•  $\left(x-1\right)\left(x+15\right)$  

Factor completely:
 $64m^3n^3+56m$  

•  $8\left(8m^3n^3+8m\right)$  

•  $8m\left(8m^2n^3+7\right)$  

•  $8mn\left(8m^2n^2+7\right)$  

•  $m\left(64m^2n^3+56\right)$  

What is the GCF of this quadratic?
 $6a^2+36a^4+48a^6$  

•  $6a$  

•  $6$  

•  $6a^2$  

•  $a$  

Factor completely:
 $x^2+6x+5$  

•  $\left(x+2\right)\left(x+3\right)$  

•  $\left(x-1\right)\left(x-5\right)$  

•  $\left(x-2\right)\left(x+3\right)$  

•  $\left(x+1\right)\left(x+5\right)$  

Factor completely:
 $x^2-6x-27$  

•  $\left(x+27\right)\left(x-1\right)$  

•  $\left(x-3\right)\left(x+9\right)$  

•  $\left(x-9\right)\left(x+3\right)$  

•  $\left(x-27\right)\left(x+1\right)$  

Check BOTH correct factors of this quadratic to get full points!
 $x^2+4x-60$  

•  $\left(x+10\right)$  

•  $\left(x-12\right)$  

•  $\left(x+5\right)$  

•  $\left(x-6\right)$