00:01
When factoring completely, we're always going to start by looking for a greatest common factor.
00:06
In this case, there is not one, 24, 17, and 20 are all relatively prime.
00:12
There's not a variable in each term.
00:13
So we're going to go to the grouping process.
00:16
And the first part of the grouping process is to replace that middle term, which in this case is 17x squared.
00:22
We're going to replace it with two terms that combined to make that 17, but also that have the same product as a times c.
00:28
So in this case, a times c, 24 times negative 20 is negative 480.
00:35
So we need factors of negative 480 that'll add to make 17.
00:40
Now obviously if it's a negative product, they're opposite signs.
00:43
And the factor farther from zero will be positive because they combine to make a positive.
00:47
If you want a calculator, you do like 480 divided by 1, 480 divided by 2.
00:53
And you're going to find all the factors that work.
00:57
You're going to have to go down your list a little bit for this one...