Question

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

Answer 1

`(x-1)(x-6)`

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

`(x-1)(x-6)`

Hope this helps!