# Question #661ce

Mar 17, 2017

$\left(y + 8\right) \left(y - 6\right)$

#### Explanation:

We have to find two numbers whose product is $- 48$ but at the same time, whose sum is $2$. This is a sort of trial and error process and is not always the case; however in this example...

When we multiply $8$ and $- 6$ we'll get $- 48$

When we add $8$ and $- 6$ we'll get $2$

So we have found our two numbers and we can write it factored form like so:

$\left(y + 8\right) \left(y - 6\right)$

Note: We can check our answer by factoring out or (F.O.I.L) which should result with what you started with.