Unit 6 Preview!

Completely factor the following Cubic Expression:  $2x^3-24x^2+70x$  

•  $\left(2x^2+7x\right)\left(x+5\right)$  

•  $\left(2x^2-7x\right)\left(x-5\right)$  

•  $2x\left(x+7\right)\left(x+5\right)$  

•  $2x\left(x-7\right)\left(x-5\right)$  

 $3x^3+x^2-14x$  

Factor the following Cubic Expression:

•  $3x\left(x-70\right)\left(x-2\right)$  

•  $x\left(3x-7\right)\left(x+2\right)$  

•  $3x\left(x+7\right)\left(x-2\right)$  

•  $x\left(3x+7\right)\left(x-2\right)$  

Fully factor the following Cubic Expression:

 $x^3+3x^2+5x+15$ 

•  $\left(x^2+5\right)\left(x+3\right)$  

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

•  $\left(x^2+3\right)\left(x+5\right)$  

•  $\left(x^2+3\right)\left(x^2+5\right)$  

Fully factor the following Cubic Expression:

 $35x^3+28x^2-10x-8$  

•  $\left(5x^2-2\right)\left(7x+4\right)$  

•  $\left(7x^2-4\right)\left(5x+2\right)$  

•  $\left(7x^2-2\right)\left(5x+4\right)$  

•  $\left(5x+4\right)\left(7x^2+2\right)$  

Fully factor the following Cubic Expression:

    $8x^3+x^2-8x-1$  

•  $\left(8x^2+1\right)\left(x-1\right)$  

•  $\left(x+1\right)\left(x-1\right)\left(8x+1\right)$  

•  $\left(x-1\right)\left(x-1\right)\left(8x-1\right)$  

•  $\left(x^2-1\right)\left(8x-1\right)$  

Fully factor the following Cubic Expression:

 $5x^3-25x^2+4x-20$  

•  $\left(5x^2+4\right)\left(x+5\right)$  

•  $\left(x^2+4\right)\left(5x-5\right)$  

•  $\left(5x^2+5\right)\left(x-4\right)$  

•  $\left(5x^2+4\right)\left(x-5\right)$  

 $\left(x^3-13x^2+51x-63\right)\div\left(x-7\right)$  

Solve the following:

•  $x^2+6x$  

•  $2x^3-6x^2+\frac{9}{x-7}$  

•  $x^2-6x+\frac{9}{x-7}$  

•  $x^2-6x+9$  

 Find the Quotient: 

   $\left(6x^3-30x^2-6\right)\div\left(x-5\right)$  

•  $6x^2-\frac{6}{x-5}$  

•  $6x^2-6-\frac{3}{x-5}$  

•  $6x^2-60x-\frac{6}{x+5}$  

•  $6x^2-60-\frac{29}{x-5}$