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Factor by Grouping Calculator
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Factor by Grouping Calculator is an online tool to find the factors of an equation which is in the form of Ax$^{2}$+Bx+C. It makes calculation easy and fun. If an equation which is in the form of Ax$^{2}$+Bx+C is given then it can easily find the factors of that equation.
 

Steps for Factor by Grouping

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Step 1 :  

First multiply together and list the factors of independent terms.



Step 2 :  

Now find a pair that adds to x coefficient. If you cannot find such a pair then the trinomial does not factor.



Step 3 :  

Rewrite the middle term as a sum of terms whose coefficients are the chosen pair and factor by grouping.



Examples on Factor by Grouping

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  1. Factor: x2+ -4x + -12.


    Step 1 :  

    Here the given expression x2 -4x -12 can be rewritten as x2 -6x + 2x -12.



    Step 2 :  

    Now group x2 with -6x and 2x with -12.



    Step 3 :  

    So it will be =(x2 + -6x) + (2x + -12).


    = x ×(x − 6) + 2 × (x − 6).


    = (x − 6)×(x + 2).


    So x = 6 and x = -2.



    Answer  :  

    x = 6 and x = -2.
    Factors are: (x - 6) (x + 2) .



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