Algebra Factoring Calculator

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

What is Algebra Factoring Calculator?

'Algebra Factoring Calculator' is an online tool that helps to calculate the factors of a given quadratic equation. Online Algebra Factoring Calculator helps you to calculate the factors of a given equation in a few seconds.

NOTE: The coefficient of x² should not be zero.

How to Use Algebra Factoring Calculator?

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

• Step 1: Enter the coefficients of a given equation in the given input boxes.
• Step 2: Click on the "Solve" button to find the factors of a given equation.
• Step 3: Click on the "Reset" button to clear the fields and enter the new values.

How to Find Algebra Factors?

An equation of the form ax² + bx + c = 0, where a ≠ 0 is called a quadratic equation and a, b, c are coefficients of a quadratic equation.

To determine the roots of the quadratic equation, we use its roots. If roots of a given quadratic equation are x₁ and y₁ then 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 algebra 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 algebra factors for the given quadratic equation:

• 2x² + x − 3 = 0
• x² + 10x − 11 = 0