Part A: The base ticket price for a football game is modeled by the function p(x) = 15x + 10, where x is the years since the team started playing football. Not included in each base ticket price is a service charge modeled by the function c(x) = 5x + 2. To find the total cost of a ticket, a fan should use what operation on the polynomials? Addition Subtraction Multiplication It cannot be determined Part B: Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. Find f(x) − g(x). x2 − 11x + 13 x2 − 11x + 1 x2 + 7x + 1 x2 + 7x + 13 Part C: Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x). x2 − 3x − 28 x2 − 3x − 11 x2 + 3x − 28 x2 + 3x − 11 Part D: Subtract (5x2 + 3) − (2x2 + 4x − 12). 3x2 − 4x + 15 3x2 + 4x + 15 3x2 − 4x − 9 3x2 + 4x − 9
Part A:
The base ticket price for a football game is modeled by the function p(x) = 15x + 10, where x is the years since the team started playing football. Not included in each base ticket price is a service charge modeled by the function c(x) = 5x + 2. To find the total cost of a ticket, a fan should use what operation on the polynomials?
Addition
Subtraction
Multiplication
It cannot be determined
Part B:
Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. Find f(x) − g(x).
x2 − 11x + 13
x2 − 11x + 1
x2 + 7x + 1
x2 + 7x + 13
Part C:
Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x).
x2 − 3x − 28
x2 − 3x − 11
x2 + 3x − 28
x2 + 3x − 11
Part D:
Subtract (5x2 + 3) − (2x2 + 4x − 12).
3x2 − 4x + 15
3x2 + 4x + 15
3x2 − 4x − 9
3x2 + 4x − 9
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