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 ax2 + 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 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.”
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 Examples on Quadratic Factoring Calculator
Example 1:
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)
Example 2:
Find the factors of given quadratic equation 2x2 - 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:
- 2x2 + x − 3 = 0
- x2 + 10x − 11 = 0