00:01
We're finding the polynomial of degree 5 that has the zeros negative 2, negative 1, 0, 1, and 2.
00:13
Using the factor theorem, we know that our factors are going to be of the form x minus c, where c represents our zeros.
00:25
Therefore, our factors are x minus 2, x minus minus 1, x minus 1, x minus 0, x minus 1, and x minus 2.
00:52
Simplifying our factors, we get x plus 2, x plus 1 times x times x minus 1.
01:05
And x minus 2.
01:08
So to get our polynomial of degree 5, we just need to multiply our factors.
01:18
We're going to use the foil method.
01:27
Multiplying the first two brackets, using the foil method, we get x squared.
01:35
X times 1, that's x.
01:38
2 times x, that's 2x, and 2 times 1, that's 2...
