Problema Solution

Bob's Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 8x^3 - x^2 - 2x + 4. The shop estimates their costs for that quarter to be given by x^2 - 4x + 7. For the second quarter, find and simplify a polynomial that will represent their profit.

Answer provided by our tutors

"Profit" = "revenue" - "costs"

"Profit" = (2x^3+5x^2-x-1) - (4x^2-9x-8)

"Profit" = 2x^3+5x^2-x-1 - 4x^2+9x+8

"Profit" = 2x^3+x^2-x-1+9x+8

"Profit" = 2x^3+x^2+8x-1+8

"Profit" = 2x^3+x^2+8x+7

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They ar looking for:

2x^3+x^2+8x+7