00:01
Okay, we're going to find a polynomial of x that has a degree of three, and it also has the following zeros, 2, negative 3, and 0.
00:10
So to get the factors, we're going to first take each of the zeros and change the signs.
00:18
So we're going to make 0 stays the same, 2 becomes negative 2, negative 3 becomes a 3.
00:25
Then we're going to put an x in front of each of those to get our factors.
00:28
So we're going to have an x plus 0, x minus 2, x plus 3, and that when simplified down is x times the quantity x minus 2 times x plus 3.
00:41
So those are our factors.
00:45
If we were going to simplify that even further, it would be x times the quantity x squared plus x minus 6...