Top

Factor by Grouping Calculator
Top
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

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

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.