Factor by grouping calculator

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A quadratic equation can be factored in different ways. One of the methods to factor is by grouping them. This method involves grouping two terms each and then pulling out a common factor out of them. Factor by grouping calculator is the instant tool which can easily help us factor the quadratic equation.


Example 1: Factor the given quadratic expression by grouping: x2 + 3x + 2

Given quadratic expression: x2 + 3x + 2

Now expand the given quadratic expression by splitting ‘3x’ term in two parts.

‘3x’ can be written as ‘(1 + 2) x’.

Also, the constant term ‘2’ can be written as ‘(1 * 2)’

Hence > x2 + 3x + 2 = x2 + x + 2x + 2

Now group the first two and last two terms > x(x + 1) + 2(x + 1)

(x + 2)(x + 1) are the factors!



Example 2: Factor the given quadratic expression by grouping: x2+ 2x – 8

Given quadratic expression: x2+ 2x – 8

Now expand the given quadratic expression by splitting ‘2x’ term in two parts.

‘2x’ can be written as ‘(4 - 2) x’.

Also, the constant term ‘-8’ can be written as ‘(4 * -2)’

Hence > x2 + 2x – 8 = x2 + 4x – 2x - 8

Now group the first two and last two terms > x(x + 4) – 2(x + 4)

(x + 4)(x - 2) are the factors!


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