Factor by Grouping Calculator

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**Step 1 :**

**Step 2 :**

**Step 3 :**

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.

First multiply together and list the factors of independent terms.

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

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

Factor: x

^{2}+ -4x + -12.**Step 1 :**Here the given expression x

^{2}-4x -12 can be rewritten as x^{2}-6x + 2x -12.**Step 2 :**Now group x

^{2}with -6x and 2x with -12.**Step 3 :**So it will be =(x

^{2}+ -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) .