Essay; show all work. Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 7x3 – 9x2 – 2x + 4. The shop estimates their costs for that quarter to be given by x2 + 7x – 5. For the second quarter, find and simplify a polynomial that will represent their profit.

Answer 1

P=(7X^3 - 9X^2 - 2X + 4)-(X^2 + 7X -5).
P=7X^3 - 9X^2 - 2X + 4 - X^2 - 7X + 5,
Combine like-terms:
P = 7X^3 - 10X^2 - 9X + 9,

Answer 2

P=(7X^3 - 9X^2 - 2X + 4)-(X^2 + 7X -5).
P=7X^3 - 9X^2 - 2X + 4 - X^2 - 7X + 5,
Combine like-terms:
P = 7X^3 - 10X^2 - 9X + 9,