Question

How do you factor `x^2+10x+3`?

Answer 1

You can find its roots and then turn them into factors.

Let's use Bhaskara.

`(-10+-sqrt(100-4(1)(3)))/2`

`x_1=-5-sqrt(22)`
`x_2=-5+sqrt(22)`

So, equaling them to zero will give you the factors:

`(x+5+sqrt(22))(x+5-sqrt(22))`