# What is factorization of quadratic expressions?

##### 1 Answer

Factorization of a quadratic expression is the opposite of expansion, and is the process of putting the brackets back into the expression rather than taking them out.

To factorize a quadratic expression of the form

An example of this would be the equation

Now, one might expect the solution to include the numbers 2 and 3, as these two numbers both add together to give 5 and multiply to give 6. However, as the signs differ in the factorized equation, then the solution to the equation must be

The equation can be checked by multiplying the solutions back into the equation to give the original quadratic of