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

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