Demand Function

I need an explanation on the demand function. I have a downward sloping demand function that is at 14.30 on the y axis (price) and 286 on the x axis (quantity).

How do I derive the demand function using the equation? (Q=D(p,p^2,p^3,Y)

What the book lists is this:


I don't know where the 171 comes from and the coefficient for the price variables.


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