00:01
In order to factor out the gcf from this polynomial, we must first identify what the gcf is.
00:07
We don't have any numeric coefficients on these variables.
00:11
So i'm going to just look at it variable by variable.
00:14
We have an x in all four terms.
00:18
So i know that my gcf is going to have an x in it.
00:21
More specifically, we need to look at the exponent, 9, 3, 4, and 3.
00:25
We always take the smallest exponent on our gcf.
00:30
We're going to do the same thing with y.
00:32
So 1, 2, 3, 4, i see a y in all 4 terms.
00:36
Perfect.
00:38
6, 5, 3, and 3 are my exponent.
00:41
So 3 is the smallest exponent.
00:44
That's going to be factored out for my y as well.
00:47
So x to the 3rd, y to the 3rd is our gcf...