00:01
In this problem, we want to factor this polynomial by finding its greatest common factor.
00:05
So we have 5xy cubed plus 2x squared y plus 10xy.
00:11
I'll let you just think about it in pieces.
00:13
So starting with the numbers, we have 5, 2, and 10.
00:16
There's no value that divides into all of those except for 1, so we really don't have any common factor with the coefficients.
00:24
Then we look at the xes of x, x, squared, and x.
00:27
There's at least 1x in every term.
00:29
So as we're starting to think about this greatest common factor, we know we can take out an x.
00:35
Now, when we look at the ys, we have y to the third, y and y.
00:39
Once again, we have at least one y in every term, so we can also divide out a y...