# 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 12x^{2} + 50xy + y^{2}

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 2x^{2} + 5xy + 3y^{2}

**Solution:**

⇒ 2x^{2} + 2xy + 3xy + 3y^{2}

⇒ 2x(x + y) + 3y(x + y)

⇒ (2x + 3y)(x + y)

Therefore, (2x + 3y)(x + y) are the factors of the given trinomial 2x^{2} + 5xy + 3y^{2}

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

- 2x
^{2}- x^{4}+ 5 - x
^{2}y^{2}+ y^{4}+ x

visual curriculum