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

(01.07 MC) Multiply (4 + i)(1 − 5i).

(03.01 MC) What is the quotient (3×2 + 4x − 15) ÷ (x + 3)?

(01.08 MC) Simplify (8j3 + 3j2 + 7) − (3j3 − 7j2 − 7j − 12).

(01.07 MC) Simplify the expression (3 + 7i)(3 − 7i).

(03.02) Is (x − 4) a factor of f(x) = x3 − 2×2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

(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

(03.04 LC) Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x − 3)(x − 2)(x + 1).

(03.03 LC) How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?

(03.04) One factor of the function f(x) = x3 − 9×2 + 20x − 12 is (x − 6). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.