Unit 8 Review

What does GCF stand for?

• Greatest Common Factor

• Gradient Cumulative Factor

• Greatest Common Fraction

• Geometric Complicated Fractal

 $30x^5y^2-21x^3y$  

What is the greatest common factor (or highest common factor) of this expression? 

•  $3x$  

•  $x^3y$  

•  $3x^3y$  

•  $3xy$  

 $8b^2-12b$  
Factor this expression completely, by removing the greatest common factor

•  $4b$  

•  $4b\left(2b-3\right)$  

•  $2b\left(4b-6\right)$  

•  $4b^2\left(2-3\right)$  

 $3p\left(p-1\right)+5h\left(p-1\right)$  

Factor completely, by factoring out the common factor.

•  $\left(3p\right)\left(5h\right)\left(p-1\right)$  

•  $\left(p-1\right)\left(3p+5h\right)$  

•  $3p^2-3p+5hp-5h$  

•  $\left(p-1\right)$  

 $10m-2mk+5k-k^2$ 

 Factor by grouping. Type your answer without any spaces.

 $6ax+3bx+2b+4a$  
Select the two factors of this polynomial from the checklist below: 

•  $\left(3x+2\right)$  

•  $\left(b+2a\right)$  

•  $\left(3x+1\right)$  

•  $\left(2b+4a\right)$  

•  $\left(2ax+b\right)$  

 $x^2-7x+12$  
Factor completely.

•  $\left(x+7\right)\left(x-1\right)$  

•  $\left(x-6\right)\left(x-2\right)$  

•  $\left(x-3\right)\left(x-4\right)$  

•  $\left(x+3\right)\left(x+4\right)$  

 $5y^2+30y-200$  

Factor completely.

•  $5\left(y+10\right)\left(y-4\right)$  

•  $\left(5y+50\right)\left(y-4\right)$  

•  $5\left(y-10\right)\left(y+4\right)$  

•  $\left(y-10\right)\left(5y+20\right)$  

 $g^2-22g-75$  
Factor completely.  Type your answers without any extra spaces. 

 $3x^2-22x-16$  
Factor the trinomial completely. Select the two correct factors from the list below.

•  $\left(x-8\right)$  

•  $\left(3x+2\right)$  

•  $\left(x-24\right)$  

•  $\left(x+2\right)$  

•  $\left(2x-1\right)$