Quadratic Equation (1)

A quadratic equation has a general form of

… (1)

The values of x’s that satisfies the equation are called the roots.

There are three common ways to find the roots, they are

1. Factorization
2. Completing square
3. Quadratic formula

In this posting I will discuss the first method, that is the factorization method.

This is the simplest method, yet the weakest one. This is particularly easy when a = 1. To find the roots, imagine the following illustration.

We have to find two numbers p and q that their product equal to a. We also have to find two numbers m and n that their product equal to c. Moreover, p.n + q.m = b. If there are such numbers, then the quadratic equation can be factorized ast

Therefore the roots of the quadratic equation are :

I have some examples and exercises. You can download them by click the following link.

Quadratic Equation, the factorization method.