Factor By Grouping Calculator

Cuemath's Factor By Grouping is an online tool that helps to calculate the grouping of terms with common factors. 

What is the Factor By Grouping Calculator?

Cuemath's online Factor By Grouping calculator helps you to calculate the grouping of terms with common factors within a few seconds.

NOTE: Please enter the values upto 4th or 5th degree polynomial.

How to Use Factor By Grouping Calculator?

Please follow the below steps to find the grouping of terms with common factors:

• Step1: Enter the polynomial in the given input box.
• Step 2: Click on the "Solve" button to find the grouping of terms with common factors.
• Step 3: Click on the "Reset" button to clear the fields and find the grouping of terms with common factors for different polynomials.

How to Find Factor By Grouping?

Follow the steps mentioned below to factorize a polynomial.

1. Factor out if there is a factor common to all the terms of the polynomial.
2. Identify the appropriate method to factorize the polynomial. You can use regrouping or algebraic identities to find the factors of the polynomial.
3. Write polynomial as the product of its factors.

Solved Example:

Find the factor by grouping for polynomial 16xy + 16y + 32x + 32

Solution:

 4 is a single factor common to all the terms of this polynomial.

= 16xy + 16y + 32x + 32

= 4(4xy + 4y + 8x + 8)

Here, we will do factoring polynomial by grouping.

Let us write 4xy + 4y and 8x + 8 in the factored form separately.

4xy + 4y = 4y( x + 1)

8x + 8 = 8(x + 1)

So, 16xy + 16y + 32x + 32

= 4(4xy + 4y + 8x + 8)

= 4(4y( x + 1) + 8(x + 1)) which is factored form.

Similarly, you can try the calculator to find the factor by grouping for

1) x⁴ - 4x²

2) x²y² + y⁴