(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).

(01.08 MC) Simplify the expression 4(x − 5)(x2 + x + 2).

(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.

Each student will receive a different, random set of 8 questions covering lab 5.7. The quiz consists of 8 multiple questions (worth 2 points each) for a total of 16 points. There is no pausing, so you must finish the quiz once you start. You will have 20 minutes to complete the lab quiz, after which the quiz will auto-submit with the questions you have answered in that 20-minute time frame. 

(03.04 LC) One zero of the polynomial function f(x) = x3 − 9×2 + 20x is x = 0. What are the zeros of the polynomial function?

(01.07 MC) Simplify the expression. Write your answer as a complex number.

(03.04 LC) One zero of the polynomial function f(x) = x3 − x2 − 12x is x = 0. What are the zeros of the polynomial function?

(02.05 LC) Solve x2 + 6x = 9 for x by completing the square.

(02.07 LC) Solve 2×2 + 16x + 34 = 0.