# How To Factor Quadratic Equations

Enlarge

## How To Factor Quadratic Equations

The video is a Math tutorial which teaches about how to factorise quadratic equations. The video demonstrates with the use of an equation, a step by step procedure on how to factorise quadratic equations.

Hi. My name is Charles and I am one of the math teachers from the Maxim Workshop. I'm just going to teach you how to do some math.

I'm going to show you how to factor Quadratic Equations. Now, the first thing you want to do is establish a quadratic equation. Now, the equation I'm going to bring is x square minus seven x plus 10 equals 0 (X2 - 7x +10 = 0), so we are not actually going to go to the length of finding the solutions.

We are only going to factorise so as to see where the solution lies. First thing you are going to do is to bring in all two brackets. Now we start to factorise.

This term here, the x square terms comes about by having 2 x's multiplied together, so we put them in like that. So the multiplication goes from here to there. So this times that produces this.

Now the two numbers that fit here are going to need to add up to negative 7 and then provide positive 10. So first thing I would do is to try to establish what the factors of 10 are. So then, we can decide which one will add up to give negative 7.

Okay, so below are factors of 10 which are two times 5 and if you remember the negative factors as well, negative two times negative 5. We've got 1 times 10 and we also have negative 1 times negative 10. So if we look for all of these, we know it is that, this particular multiplication has the factors that we need because negative 2 plus negative 5 produces negative 7.

So we can directly insert these two numbers in brackets here. So negative 2 and negative 5. Now if you look at this we have our factors.

X minus two times x minus 5 and those are the two factors for this equation. And that's basically how to factor quadratic equations.