00:01
This problem wants us to take the graph and write a factored form polynomial to represent the graph that we see.
00:06
So to start, we're going to look at all of our x intercepts and take these x intercepts and write it in their factored form or the binomial form and also pay attention to their multiplicity because that might change the exponent they have.
00:18
But to start, and we'll name this function in f of x.
00:21
We would have negative 4 going to a binomial x plus 4, negative 3 go into a binomial x plus 3.
00:29
And they're both multiplicity.
00:30
Because they're going straight through and crossing the x -axis.
00:33
Same thing for two.
00:34
This would be x -minus 2 to the first power.
00:36
We would have one more 0 at 4, so that would be x -minus 4.
00:40
But we need to change this multiple, or we need to change this x -monet because the multiplicity we see based on the graph should be 2 because this is hitting this x -intercept and bouncing down...