00:02
We're finding the polynomial of degree 4 that has 0s, negative 1, 1, 3, and 5.
00:14
To do this, we're going to use the factor theorem.
00:20
Our factors would be of the form x minus c, where c is or zeros.
00:31
So rewriting our factors, we have x minus minus 1, x minus 1, x minus 1, x minus 3, and x minus 5.
00:51
Simplifying our first factor that is x plus 1, and i'm just going to rewrite the rest of our factors, x minus 1, x minus 3, and x minus 5.
01:04
To get our polynomial of degree 4, we just need to multiply the factors or expand our brackets.
01:17
Using the foil method, multiplying x plus 1 by x minus 1, we get x squared minus x plus x minus 1.
01:33
And rewriting the rest of our factors, x minus 3 times x minus 5...
