for a certain company, the cost for producing x items is 35x + 300 and the revenue for selling x items is 75x - 0.5x^2. I cant figure out the quadratic polynomial expression? I do not know how to find the two values that will create a profit of 300 dollars? I have no idea if the company will make a profit of 15,000 dollars?

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.