Factoring by Grouping Calculator

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Factoring by grouping is a technique which is used to factor any given quadratic expression. In this method, a common factor

is searched in the first two terms and the last two terms. Factoring by grouping calculator is the fun tool which can easily factor

any quadratic expression using this method.

Example 1: Factor the given quadratic expression by grouping: x2 + 6x + 5

Given quadratic expression: x2 + 6x + 5

Now expand the given quadratic expression by splitting ‘6x’ term in two parts.

‘6x’ can be written as ‘(1 + 5) x’.

Also, the constant term ‘5’ can be written as ‘(1 * 5)’

Hence x2 + 6x + 5 = x2 + x + 5x + 5

Now group the first two and last two terms x(x + 1) + 5(x + 1)

(x + 1)(x + 5) are the factors!


 
Example 2: Factor the given quadratic expression by grouping: x2 + x – 12

Given quadratic expression: x2 + x -12

Now expand the given quadratic expression by splitting ‘x’ term in two parts.

‘x’ can be written as ‘(4 - 3) x’.

Also, the constant term ‘-12’ can be written as ‘(4 * -3)’

Hence  x2 + x – 12 = x2 + 4x – 3x - 12

Now group the first two and last two terms x(x + 4) – 3(x + 4)

(x + 4)(x - 3) are the factors!

 

 

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