## 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.

**Acceptable Math symbols and their usage**

If you choose to write your mathematical statements, here is a list of acceptable math symbols and operators.

- + Used for Addition
- -Used for Subtraction
- *multiplication operator symbol
- /Division operator
- ^Used for exponent or to Raise to Power
- sqrtSquare root operator

Pi : Represents the mathematical Constant pi or

\pi
Go to Solved Algebra examples with Steps

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