SOLUTION: Please explain multiplicity, I have completely lost. I understand that it is the number of times X is raised to. Such as (x-2)^3 is multiplicity of 3 and with 2 zero's. I think I u
Question 908292: Please explain multiplicity, I have completely lost. I understand that it is the number of times X is raised to. Such as (x-2)^3 is multiplicity of 3 and with 2 zero's. I think I understand that correctly. What I don't understand is when given a graph how I would find the multiplicity. I have a few problems I must solve and multiplicity or lowest possible values for n are confusing me to no end. I've google searched and found nothing that "clicks" to where I can identify with the graphs. Please explain this. Here is the graphs:
http://i.imgur.com/2JA8fKq.png
Thank you Found 2 solutions by richwmiller, ewatrrr:Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
As I understand it, multiplicity is the number of time same zero appears as a solution.
See
http://www.mathwords.com/m/multiplicity.htm
I think this explains it best with graph examples
http://www.purplemath.com/modules/polyends2.htm
Every time the graph crosses the x axis count one more zero
Every time the graph touches but doesn't cross the x axis add at least two zeroes Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi
(x-2)^3 = (x-2)(x-2)(x-2) Green (multiplicity of 3) x = 2
(x-2)^2 = (x-2)(x-2)Blue (multiplicity of 2) x = 2
I. 3rd Degree Equations are s - shaped
II. 2nd Degree are Parabolas
III. These types crossing x-axis only once indicates multiplicity