00:02
So today we're going to be factoring negative 3 z to the 5th w squared minus 18 z to the third, w to the 4th.
00:20
So we got to recognize that there are two terms, negative 3 z fifth times w squared, and negative 18 z to the third times w to the fourth.
00:30
So the first thing we're going to look at is negative 3 and negative 18.
00:34
Both of those are divisible by negative 3.
00:41
Now we're going to look at the z's.
00:44
The smaller of the two number of zes is what we can divide out.
00:49
So since the second term only has three factors of z, that's the most that we can divide out of both terms.
00:56
Same thing with the w's.
00:58
The smaller of the two is what we can divide out.
01:00
So w squared is the maximum that we can divide out.
01:04
So our greatest common factor is negative 3, z to the third, w squared, and now we need to multiply that by something that gets us back to the original.
01:13
Well, we can look at negative 3 times 1...