00:01
So if we wanted to sketch this polynomial, well, the first thing we have to do is look at the x intercept.
00:07
So we know we have an x intercept at negative 2, at negative 1, at positive 2, and positive 3.
00:19
And these all have multiplicities of 1.
00:22
So this means that at each x intercept, the graph will cross the x -axis.
00:31
And so now let's look at our end behavior.
00:33
Well, if we have x is approaching negative infinity, then we have negative infinity times negative infinity and then times another two negative infinity.
00:43
So essentially we're taking negative infinity to the fourth power.
00:48
So this means our polynomial will approach positive infinity.
00:52
And when x approaches infinity, of course we have a positive infinity to the fourth power.
00:59
So we have that our polynomial will approach positive infinity.
01:03
So let's sketch this.
01:06
So we know that we have four intercepts.
01:10
So if this is x and this is y...