SOLUTION: What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?

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Question 1176238: What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?
Found 3 solutions by Alan3354, MathLover1, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?
-------------
10
-10
25
-25
14
-14
11
-11
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


To factor a trinomial in the form , find two integers, and , whose product is and whose sum is .



......eq.1
1.









2.









3.











Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

There are 4 different decompositions of the number 24 into the product 


    24 = 24*1

    24 = 12*2

    24 =  8*3

    24 =  6*4


Accordingly, there are 8 integer values  

    25, -25;  

    14, -14;  

    11, -11;

    10, -10

as coefficients at x,  providing decomposition of the given trinomial into the product of linear binomials with integer coefficients.


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