The price of an item is given by p=2xsquared - 100. Find the polymonial that represents the revenue generated from the sale of x items.
Multiply the price term, 2x^2 - 100, by the number of sales, x. That should be the revenue from selling x units.
The p(x) relationship you have been given does not make sense to me. It would imply the price becomes negative if none are sold. It also implies that the number of unit sales, x, increases with price.
To find the polynomial that represents the revenue generated from the sale of x items, we need to multiply the price term, 2x^2 - 100, by the number of sales, x.
Revenue = Price * Number of Sales
= (2x^2 - 100) * x
To simplify this expression, we distribute the x to each term inside the parentheses:
Revenue = 2x^3 - 100x
Therefore, the polynomial that represents the revenue generated from the sale of x items is 2x^3 - 100x.