Welcome to GreeneMath.com, your source for free math help!
Special Polynomial Products Test
About Special Polynomial Products:

When we multiply polynomials, we find that some problems occur very often. For these types of problems, generally called special products, we can develop shortcut formulas. When memorized, these formulas allow us to multiply these special products very quickly.

Test Objectives:

•Demonstrate a general understanding of special products formulas

•Demonstrate the ability to quickly square a binomial

•Demonstrate the ability to quickly cube a binomial

Special Polynomial Products Test:




#1:


Instructions: Find each product.


a) (8a - 5)2


b) (2 + 3n)2


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



#2:


Instructions: Find each product.


a)


( 3n  +  1 ) 2
 5 4

b)


( 7x  -  5 ) 2
 4 4

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



#3:


Instructions: Find each product.


a) (6 + 4v)(6 - 4v)


b) (4x - 2)(4x + 2)


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



#4:


Instructions: Find each product.


a) (2x3 - 3y2)(2x3 + 3y2)


b) (-7u + 9v)(-7u - 9v)


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



#5:


Instructions: Find each product.


a) (8b - 3)3


b)


( 1z2  +  2y ) 3
4 5

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



Written Solutions:




#1:


Solution:


a) 64a2 - 80a + 25


b) 9n2 + 12n + 4


Watch the Step by Step Video Solution



#2:


Solution:


a)


9n2  +  3n  +   1
25 10 16

b)


49x2  -  35x  +  25
 16   8 16

Watch the Step by Step Video Solution



#3:


Solution:


a) -16v2 + 36


b) 16x2 - 4


Watch the Step by Step Video Solution



#4:


Solution:


a) 4x6 - 9y4


b) 49u2 - 81v2


Watch the Step by Step Video Solution



#5:


Solution:


a) 512b3 - 576b2 + 216b - 27


b)


 z6  +  3z4y  +  3z2y2  +   8y3
64 40 25 125

Watch the Step by Step Video Solution