Factoring quadratic equations calculator

A Worked example to illustrate how the factoring calculator Works:

An online calculator that helps you solves quadratic equations. A quadratic equation is a polynomial of degree two. Factoring is an efficient way of solving a quadratic equation.

Given a quadratic equation of the form x^2+ bx + c = 0 , where a ≠ 0, you can write it as a product of two first degree polynomials as follows:  ax^2+ bx + c = (x+h)(x+k)=0, where h, k are constants.

With the latter expression, it is easy to determine the roots of the equation simply by solving for the variable.

As much as we would like, not all quadratics can factor nicely as illustrated in the example above. Consequently, not all equations are solvable through the factoring by inspection. Before you can proceed, it is sufficient to determine if an equation is solvable or otherwise.

Unfortunately, the only sure way of determining whether an equation is solvable through factorization is establishing whether its roots are rational (for equations with b= 0 or c= 0). This is of course an impossible test as it requires you to find the roots.

To avoid such uncertainties, make use of our online factoring calculator that helps you solve quadratic equations through factorization.

Factoring calculator with steps

Indeed, it is a factoring calculator that shows all the steps. To learn how the calculator works, checkout the following example.

Example 1:

x^2-x-12=0

Step 1: Find j=-6 and k=1 Such That  j*k=-12 And j+k=-1

x^2-4x+3x-12=0

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

(x^2-4x)+(3x-12)=0

x(x-4)+3(x-4)=0

(x-4)(x+3)=0

Step 3: Equate Each of the product to Zero

x-4= 0 OR  x+3=0​

Thus

x=4 OR x=-3

While using the calculator, you will be able to view all the steps above alongside the explanations.

Solved factoring quadratics examples

Factoring quadratics

Solving quadratic equations through factoring is one of the most fundamental solution strategies. Nevertheless, it is not easy to find two constants that let you factor a quadratic. The process usually involves some form of trial an error. To avoid such uncertainties, Use our factoring calculator.