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

When we factor a trinomial with a leading coefficient of 1, we reverse the FOIL process. Write two sets of parentheses and start with the first spots: if we see x2, we know that is produced by x • x. We then find the last positions from two integers whose sum is b and whose product is c.

Test Objectives:

•Demonstrate a general understanding of factoring a trinomial

•Demonstrate the ability to find two integers whose sum is b and whose product is c

•Demonstrate the ability to factor a trinomial into the product of two binomials

Factoring Trinomials with a Leading Coefficient of 1 Test:




#1:


Instructions: Factor each.


a) v2 + 11v + 30


b) x2 - 3x - 4


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



#2:


Instructions: Factor each.


a) x2 - 4x - 28


b) x2 + 15x + 44


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



#3:


Instructions: Factor each.


a) 2x2 + 16x + 24


b) 3m2 - 18m - 81


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



#4:


Instructions: Factor each.


a) 2x2 + 14xy - 36y2


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



#5:


Instructions: Factor each.


a) 6x2 + 36xy + 30y2


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



Written Solutions:




#1:


Solution:


a) (v + 5)(v + 6)


b) (x - 4)(x + 1)


Watch the Step by Step Video Solution



#2:


Solution:


a) prime


b) (x + 4)(x + 11)


Watch the Step by Step Video Solution



#3:


Solution:


a) 2(x + 6)(x + 2)


b) 3(m + 3)(m - 9)


Watch the Step by Step Video Solution



#4:


Solution:


a) 2(x + 9y)(x - 2y)


Watch the Step by Step Video Solution



#5:


Solution:


a) 6(x + 5y)(x + y)


Watch the Step by Step Video Solution