# Is it possible to factor y= x^2 + 5x + 6 ? If so, what are the factors?

Mar 18, 2018

Yes;

#### Explanation:

Question

y = ${x}^{2}$ + 5x + 6

Work

The factors of 6 are:
1 and 6
2 and 3
3 and 2
6 and 1
1 and -6
2 and -3
and so on...

Now, which one adds up to the "5x"? Or which one adds up to 5?

The only one that does is:
2 and 3.

So you put everything together:
(x + 2) ( x + 3)

Double-check

$\left(x + 2\right) \left(x + 3\right)$

${x}^{2} + 2 x + 3 x + 6$

${x}^{2} + 5 x + 6$

Hope this helps!! :)