Question 916560: Write the polynomial function P (lowest-possible degree) that could have the graph shown on the right
Finding the leading coefficient
http://i.imgur.com/ERfGDlj.png
I understand that it must be 4 degrees because it goes through at 3 bounces at -1 and through at at 2.
and it would be set up: (x+3)(x+1)^2(x-2)
I know it must be negative because it is downwards but how do I find the leading coefficient?
Thank you
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! if it goes through at  bounces at  and through at  , we will have:
 ...when you multiply all this, you will get
the coefficient of the term with the highest degree (which is  or  ) is called the leading coefficient: in your case the leading coefficient is 
but, on your image graph goes through points (, ),( ,), (,), and y-intercept is (, )
so, is this graph http://i.imgur.com/ERfGDlj.png you need to find equation for?
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