Factoring Trinomials Calculator

A polynomial is defined as a type of expression in which the exponents of all variables should be a whole number.

What is the Factoring Trinomials Calculator?

'Factoring Trinomials Calculator' is an online tool that helps to calculate the common factors for a given trinomial. Online Factoring Trinomials Calculator helps you to calculate the common factors for a given trinomial in a few seconds.

How to Use Factoring Trinomials Calculator?

Please follow the steps below on how to use the calculator:

• Step1: Enter the trinomial equation in the given input box.
• Step 2: Click on the "Solve" button to find the common factors for a given trinomial.
• Step 3: Click on the "Reset" button to clear the fields and enter a new equation.

How to Find Factoring Trinomials?

A trinomial is defined as a type of polynomial that has three terms. For example 12x² + 50xy + y²

Follow the below steps to factorize a trinomial:

• Factor out if there is a factor common to all the terms of the trinomial.
• Write trinomial as the product of its factors.

Solved Example:

Find the factors of the given trinomial for 2x² + 5xy + 3y²

Solution:

⇒ 2x² + 2xy + 3xy + 3y²

⇒ 2x(x + y) + 3y(x + y)

⇒ (2x + 3y)(x + y)

Therefore,  (2x + 3y)(x + y) are the factors of the given trinomial  2x² + 5xy + 3y²

Similarly, you can try the calculator to find the factors of the given trinomial:

• 2x² - x⁴ + 5     
• x²y² + y⁴ + x