# Is it possible to factor #y=x^2+5x-36#? If so, what are the factors?

##### 1 Answer

#### Explanation:

Consider the generalized factoring:

Applying the right side to the given

we can see that we need two values

such that

[1] their sum is

[2] their product is

Note that [2] implies that one of the numbers must be positive and the other negative (it's the only way you can get a negative product),

so we can think of the sum as being a difference of the magnitudes of the numbers (with the larger number being positive since

Checking possible factors of