# How do you factor #y= x^2 - 7x + 10# ?

##### 1 Answer

Dec 22, 2015

#### Explanation:

Our goal is to think of two numbers that multiply to give

One pair of number sounds particularly good;

For a simple quadratic like this one we can insert these numbers into an expression of the form

where

Thus, we get

To confirm this, apply FOIL.

which reduces to