A Factoring Calculator For Quadratic Equations with Steps

A Worked example to illustrate how the factoring calculator Works:

An algebra calculator that finds the roots to a quadratic equation of the form ax^2+ bx + c = 0 for x, where a \ne 0 through the factoring method.

As the name suggests the method reduces a second degree polynomial ax^2+ bx + c = 0 into a product of simple first degree equations as illustrated in the following example:

ax^2+ bx + c = (x+h)(x+k)=0, where h, k are constants.

From the above example, it is easy to solve for x, simply by equating either of the factors to zero.

Factor quadratic equations step-by-step

To illustrate how the factoring calculator works step by step, we use an example.

Problem: 4x^2-25=0   // case c=0
Solution: (2x+5)(2x-5)

2x+5=0 Or 2x-5=0

Thus x=\frac{-5}{2} Or x= \frac{5}{2}

Example 2:

x^2-5x-6=0

Step 1: Find j=-6 and k=1 Such That  j*k=-6 And j+k=-5

x^2-6x+x-6=0

Step 2: Choose best combination for Factoring, Then Factor And Simplify

(x^2-6x)+(x-6)=0

x(x-6)+x-6=0

(x-6)(x+1)=0

Step 3: Equate Each of the product to Zero

x-6= 0 OR  x+1=0​

Thus

X=6 OR  x=-1

Polynomial factor calculator

You can factor polynomials of degree 2 in order to find its solution. Using this calculator enables you to factor a quadratic equation accurately and efficiently. The calculator factors nicely with all the steps.

Here are more examples to help you master the factoring equation method.

More Factoring Examples

Final thoughts

This calculator not only gives you the answers but it helps you learn algebra too. With the calculator, you can practice on how to find the roots of a quadratic equation simply by working the problem your own way and comparing the results with those of the calculator.