# How do you factor completely x^2 - 7x + 6?

Jul 9, 2018

$\left(x - 1\right) \left(x - 6\right)$

#### Explanation:

Let's do a little thought experiment:

What two numbers sum up to the middle term ($- 7$) and have a product of the last term ($6$)?

After some trial and error, we arrive at $- 1$ and $- 6$, which means we can factor this as

$\left(x - 1\right) \left(x - 6\right)$

Hope this helps!