Question

Factor Completely: x^2+9x-22 ?

Answer 1

`(x+11)(x-2)`

Explanation:

When factoring, we need to find two numbers that add to make the second number of `9` and multiply to make the second number of `-22`.

I usually start out by listing the factors...
`22` and `1` cannot make 9
`11 and 2` can make 9 so we'll use this.

As you should know, a `- xx +=-` so one number should be negative, one positive. As you can work out:

`-11+2=-9`, therefore, it won't work...
`-2+11=9`, therefore, this will work...

Then we can place these numbers in brackets

`-> (x+11)(x-2)`