# How do you factor the trinomial #x²+8x+15#?

##### 2 Answers

Apr 13, 2018

#### Explanation:

First, find the factors of 15.

Now, split 8x into 2 terms of "x"s containing the numbers 1 and 15 or 3 and 5.

Now we have

Next factor x from

Also factor 5 from

We can notice that

#### Explanation:

Do it backwards to double check.

FOIL

First: x times x is

Outer: x times 3 is

Inner: x times 5 is

Last: 5 times 3 is

Add like terms:

Final answer: