(01.08 MC) Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents. f(x) = 2×2 + 4

(03.01 LC) What is the quotient (6×4 + 15×3 + 10×2 + 10x + 4) ÷ (3×2 + 2)?

(01.08 MC) Multiply (x − 4)(x2 + 5x + 6).

(03.02 LC) Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

(03.03 HC) If x = 3 is a zero of the polynomial function f(x) = 2×3 + x2 − 25x + 12, which of the following is another zero of f(x)?

(01.03 MC) Solve for all possible values of x.

(01.07 LC) Simplify the expression: (3 − 4i) + (7 − 6i).

(01.07 LC) Simplify the expression: (4 + 3i)(2 − 8i).

(03.02) Is (x + 5) a factor of f(x) = x3 − 4×2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning.

(01.07 MC) Simplify the expression (4 + 5i)(4 − 5i).