00:01
When factoring polynomials, the first step we want to do is to see if there's a greatest common factor.
00:06
In this problem, we have two terms.
00:10
This is all one term, and this is all another one, another term.
00:15
So within those two terms, we notice that they do have some factors in common.
00:20
This has an x minus three, and this has an x minus three.
00:24
So this gcf is actually a binomial, but that still works as a g7.
00:30
And so what we want to do when you're factoring gcfs is to choose the smallest exponent.
00:36
And this is an exponent of one.
00:39
So i'm going to factor out, not using the yellow, i'm going to factor out an x minus 3 to the first power.
00:50
But i also noticed that we have a 2x plus 1 that's common in both of those...