00:03
So the thing we always want to pay attention to on a graph is the x intercepts.
00:08
In this case, we see bounces.
00:10
And when we see bounces, that basically means we're going to have a term, a zero, that's raised to the second power.
00:19
So in this case, we have our bounces at x equals negative 2 and x equals 1, which implies the factors x plus 2 and x minus 1, which implies the factors x plus 2 and x minus, minus 1.
00:35
And again, the bounce means that they're squared.
00:38
So we have the function x plus 2 squared times x minus 1 squared.
00:46
And so what we can do is multiply these out and we will have our polynomial of degree 4.
00:56
So we can go ahead and work on doing that.
01:00
First of all, we'll square this first one.
01:03
So, x squared plus 4x plus 4.
01:12
Then we'll handle each of these multiplying by x minus 1s individually.
01:17
So first just multiplying the quadratic by x minus 1...