00:01
So we've got x cubed minus x, x cubed minus 2x squared plus x, and x cubed minus 1.
00:09
And we want to see what is the least common multiple between these three things, these three polynomials.
00:16
So we want to start by factoring out in each one.
00:19
So for x cubed minus x, we can definitely take an x out first.
00:23
And that would leave us with x squared minus 1.
00:26
And x squared minus 1 could factor further, and we would have x times x squared.
00:32
Plus 1 times x minus 1.
00:36
For x cubed minus 2x squared plus x we can start by taking an x out, and that will leave us with x squared minus 2x plus 1.
00:49
And x squared minus 2x plus 1 can also be factored to x times x minus 1 squared.
01:03
And x cubed minus 1 is a little different to factor.
01:08
I looked at it and noticed that i had an x minus 1 in common in both of my factors so far.
01:14
So i tried to divide an x minus 1 out and that worked...