Factoring Completely

What are the factors of 

 $3x^2-5x-12$  ?

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

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

•  $\left(3x+4\right)\left(3x-9\right)$  

•  $\left(3x-4\right)\left(3x+9\right)$  

Written in simplest factored form, the binomial

 $2x^2-50$  can be expressed as

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

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

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

•  $2x\left(x-50\right)$  

Tags

CCSS.HSA.APR.C.4

When factored completely, the expression 

 $3x^2-9x+6$  is equivalent to?

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

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

•  $3\left(x+1\right)\left(x-2\right)$  

•  $3\left(x-1\right)\left(x-2\right)$  

 The area of a rectangle is represented by $3x^2-10x-8$ . Which expression can also be used to represent the area of the same rectangle?

•  $\left(3x+2\right)\left(x-4\right)$  

•  $\left(3x+2\right)\left(x+4\right)$  

•  $\left(3x+4\right)\left(x-2\right)$  

•  $\left(3x-4\right)\left(x+2\right)$  

What should be your first step when factoring polynomials completely?

• Label the "a", "b", and "c" terms

• Multiply the "a" and "c" terms

• Factor using the GCF (if possible)

• Set up two parentheses

What factoring method(s) would be used in factoring the polynomial?  Check all that apply.

 $5b^2+40b+35$  

• Greatest Common Factor (GCF)

• Difference of Perfect Squares (DOPS)

• AC Method (a = 1)

• AC Method (a > 1)

When factoring completely, which of the following are factors of  $5b^2+40b+35$ ?

Check all that apply.

•  $\left(b+7\right)$  

•  $\left(b-7\right)$  

•  $\left(b+1\right)$  

•  $5$  

•  $\left(b-1\right)$  

What factoring method(s) would be used in factoring the polynomial?  Check all that apply.

 $3x^2-27$  

• Greatest Common Factor (GCF)

• Difference of Perfect Squares (DOPS)

• AC Method (a = 1)

• AC Method (a > 1)

Tags

CCSS.HSA.APR.C.4

When factoring completely, which of the following are factors of  $3x^2-27$ ?  

Check all that apply.

•  $\left(x-3\right)$  

•  $\left(x-9\right)$  

•  $\left(x+3\right)$  

•  $3$  

•  $\left(x+9\right)$  

Tags

CCSS.HSA.APR.C.4

Did the student make an error in factoring the expression

 $2x^2-2x-24$  ?

• Yes

• No