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# Quadratic Factoring Calculator

**Quadratic Factoring Calculator** is an online tool that helps to calculate the factors of a given quadratic equation.

## What is the Quadratic Factoring Calculator?

Online Quadratic Factoring calculator helps you to calculate the factors of a given quadratic equation in a few seconds. An equation of the form ax^{2 }+ bx + c = 0,** **where a ≠ 0 is called a quadratic equation and a, b, c are coefficients of quadratic equation.

### Quadratic Factoring Calculator

**NOTE:** The coefficient of x^{2} 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.”

To determine the roots of the quadratic equation, we use its roots. If roots of a given quadratic equation are x_{1} and y_{1 }then the factors are (x - x_{1}) and (y - y_{1})

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 Examples on Quadratic Factoring Calculator**

**Example 1:**

Find the factors of given quadratic equation x^{2} + 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)

**Example 2:**

Find the factors of given quadratic equation 2x^{2} - 5x - 8 = 0

**Solution:**

Given: a = 2, b = -5, c = -8

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

\(x = {5 \pm \sqrt{(-5)^2+64} \over 4}\)

\(x = {5 + \sqrt{89} \over 4}, x = {5 - \sqrt{89} \over 4}\)

Factors are (x - (5 + **√**89)/4) and (x - (5 - **√**89)/4)

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

- 2x
^{2}+ x − 3 = 0 - x
^{2}+ 10x − 11 = 0

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