Factoring GCF and DOPS

The greatest common factor of

 $4a^2b$  and  $6ab^3$  is

•  $2ab$  

•  $2ab^2$  

•  $12ab$  

•  $24a^3b^4$  

The greatest common factor of
 $3m^2n+12mn^2$  is?

•  $3n$  

•  $3m$  

•  $3mn$  

•  $3m^2n^2$  

What are the factors of $2n^2-8n^3$ ?

•  $2n^2\left(n-4n^2\right)$  

•  $2n^2\left(1-4n\right)$  

•  $2n^3\left(1-4n^2\right)$  

•  $3n\left(1-4n\right)$  

If $3x$ is one factor of $3x^2-9x$ , what is the other factor?

•  $3x$  

•  $x^2-6x$  

•  $x-3$  

•  $x+3$  

If the area of a rectangle is $6x^2-18x$ 

what expressions can be used to represent the length and the width?

•  $\left(3x-6\right)\left(2x+3\right)$  

•  $6x^2\left(1-3x\right)$  

•  $6x\left(x-3\right)$  

•  $6x\left(x+3\right)$  

The expression $x^2-16$  is equivalent to

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

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

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

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

The expression $4x^2-25$  is equivalent to

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

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

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

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

When factored completely, the expression  $3x^2-27$  is equivalent to:

•  $3\left(x^2-9\right)$  

•  $3\left(x^2-27\right)$  

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

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

When factored completely, the expression $p^4-81$ is equivalent to

•  $\left(p^2+9\right)\left(p^2-9\right)$  

•  $\left(p^2-9\right)\left(p^2-9\right)$  

•  $\left(p^2+9\right)\left(p+3\right)\left(p-3\right)$  

•  $\left(p+3\right)\left(p-3\right)\left(p+3\right)\left(p-3\right)$  

One factor of the expression $x^2y^2-16$ is

•  $xy-4$  

•  $xy-8$  

•  $x^2-4$  

•  $x^2+8$