# How do you find the quotient of #(a^2 + 11a + 30) div (a + 5)#?

##### 1 Answer

Jul 21, 2018

#### Explanation:

The key realization is that we should see if we can factor the numerator before we go through the trouble of long division.

To factor the numerator, let's do a little thought experiment:

What two numbers sum up to

After some trial and error, we arrive at

We now have the following:

This works out very nicely, as we can now cancel out common factors:

We're left with

Hope this helps!