# Quadratic Factoring Calculator

## What is the Quadratic Factoring Calculator?

Cuemath's Quadratic Factoring Calculator is an online tool that helps to calculate the factors of a given quadratic equation. Cuemath's online Quadratic Factoring calculator helps you to calculate the factors of a given quadratic equation in a few seconds.

NOTE: The coefficient of x2 should not be zero.

## How to Use Quadratic Factoring Calculator?

Please follow the steps below to find the factors of the quadratic equation:

• Step 1: Enter the coefficients of a quadratic equation.
• Step 2: Click on the "Solve" button to find the factors of a given quadratic equation.
• Step 3: Click on the "Reset" button to clear the fields and find the factors for different quadratic equations.

## How to Find Quadratic Factoring?

The word "Quadratic" is derived from the word "Quad" which means square. In other words, a quadratic equation is an “equation of degree 2.”

An equation of the form ax+ bx + c = 0, where a≠0 is called a quadratic equation and a, b, c are coefficients of quadratic equation.

To determine the roots of the quadratic equation, we use its roots. If roots of a given quadratic equation are x1 and ythen the factors are (x - x1) and (y - y1)

To find the roots of a given quadratic equation, we use the discriminant formula  given by  $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

### Solved Example:

Find the factors of given quadratic equation x2 + 5x + 6 = 0

### Solution:

Given: a = 1, b = 5, c = 6

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$x = {-5 \pm \sqrt{5^2-24} \over 2}$$

$$x = {-4 \over 2}, {-6 \over 2}$$

$$x= {-2},{-3}$$

Factors are (x + 2) and (x + 3)

Similarly, you can try the calculator to find the factors of given quadratic equation for the following:

• 2x2 + x − 3 = 0
• x2 + 10x − 11 = 0

• Equations