Welcome to GreeneMath.com, your source for free math help!
Factoring by Grouping Test
About Factoring by Grouping:

Factoring by Grouping is a method used to factor a four term polynomial. It involves separating a four term polynomial into two groups and factoring the GCF from each group. Once this is done, the goal is to have a common binomial factor that can be factored out.

Test Objectives:

•Demonstrate a general understanding of factoring by grouping

•Demonstrate the ability to factor out the greatest common factor (GCF) for a polynomial

•Demonstrate the ability to factor a four term polynomial using grouping

Factoring by Grouping Test:




#1:


Instructions: Factor each using grouping.


a) n3 - 4n2 + 3n - 12


b) 5b3 + 4b2 + 20b + 16


Watch the Step by Step Video Solution  
|
   View the Written Solution



#2:


Instructions: Factor each using grouping.


a) 120xy - 160x - 48y + 64


b) 4mn - 12m - 10n + 30


Watch the Step by Step Video Solution  
|
   View the Written Solution



#3:


Instructions: Factor each using grouping.


a) 75bc - 27x2d + 45bd - 45x2c


Watch the Step by Step Video Solution  
|
   View the Written Solution



#4:


Instructions: Factor each using grouping.


a) 24n2mc - 75n3k + 60n2mk - 30n3c


Watch the Step by Step Video Solution  
|
   View the Written Solution



#5:


Instructions: Factor each using grouping.


a) 72xy + 64n4 + 96xn3 + 48ny


Watch the Step by Step Video Solution  
|
   View the Written Solution



Written Solutions:




#1:


Solution:


a) (n2 + 3)(n - 4)


b) (b2 + 4)(5b + 4)


Watch the Step by Step Video Solution



#2:


Solution:


a) 8(5x - 2)(3y - 4)


b) 2(2m - 5)(n - 3)


Watch the Step by Step Video Solution



#3:


Solution:


a) 3(5b - 3x2)(5c + 3d)


Watch the Step by Step Video Solution



#4:


Solution:


a) 3n2(4m - 5n)(2c + 5k)


Watch the Step by Step Video Solution



#5:


Solution:


a) 8(3x + 2n)(4n3 + 3y)


Watch the Step by Step Video Solution