A quadratic equation is a second degree polynomial having the general form ax^2 + bx + c = 0, where a, b, and c are constants.

We will look at three different methods for solving quadratics: factorization, completing the square, and the quadratic formula. Symbolab is using all three methods, simply click the [+] next to the method of your choice to see the detailed solution steps.

Here’s how it looks like (click here to see on symbolab):

First up is factorization.

How do you factorize a quadratic? Use the Symbolab solutions technique that we saw in the middle school math solutions edition (To access Symbolab Factoring Calculator click here).

The trick is to get the equation to the form (x-u)(x-v)=0, now we have to solve much simpler equations (any number multiplied by zero equals zero ).

Let’s see how it works (click here):

Here’s another example just to get the hang of it (click here):

Until next time,

Michal