00:01
Here we're given the graph of a polynomial and we want to find the equation of the polynomial.
00:04
So first off, what is the minimum degree? well it has to be at least, because there's one, two, three, four zeros, that means it has to be at least a fourth degree and the leading coefficient is zero or negative because it goes down the bottom.
00:19
Now if i state the zeros, the zeros are going to be negative one, one, two, and two.
00:25
Notice the two happens twice because it just touches and comes back down.
00:30
Now if i want to know the equation, that's going to be y equals some number a, which we'll find later, times the factor.
00:35
So negative one becomes x plus one because if i set that equal to zero i'm going to get negative one.
00:40
We get an x minus one for the second part and then we have x minus two squared because there's two of those...