Darnell and Stephanie have competing refreshment stand businesses. Darnell’s profit can be modeled with the polynomial c2 + 8c - 100, where c is the number of items sold. Stephanie’s profit can be modeled with the polynomial 2c2 - 7c - 200.

a. Write a simplified polynomial that represents the difference between Stephanie’s profit and Darnell’s profit. (Stephanie's - Darnell's)

b. Write a simplified polynomial to show how much they can expect to earn if they decided to combine their businesses.

Question

Darnell and Stephanie have competing refreshment stand businesses. Darnell’s profit can be modeled with the polynomial c2 + 8c - 100, where c is the number of items sold. Stephanie’s profit can be modeled with the polynomial 2c2 - 7c - 200.

a. Write a simplified polynomial that represents the difference between Stephanie’s profit and Darnell’s profit. (Stephanie's - Darnell's)

b. Write a simplified polynomial to show how much they can expect to earn if they decided to combine their businesses.