# How do you factor the expression #4x^2 + 16x + 15#?

##### 1 Answer

#### Explanation:

I'm going to explain this using the most common method of factorising: by **splitting the middle term.**

The first step is to multiply the coefficient of

Now, we need to find the **pair of factors of #60# whose sum or difference will give us the coefficient of #x#, i.e., #16#.**

With a quick glance, it's clear that the sum of the factors in the pair

Great! So now we **split the coefficient of middle term #(16)#** as a sum of

**Note: It doesn't matter if you reverse the order and split #16x# as #10x+6x#, you'll get the same result!**

Now, we must take out common factors from the first two terms and then the next two terms:

Now, we can take

and voila, that's the factored expression!