(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.

The following figure shows a TCP transaction. Assume Host A always has data to send, and each packet has size 40 Bytes. Assume Host A has a send window of 80 Bytes, that is, it can send two “in-flight” packets maximum. Answer the following questions. Notes: Pipelining using Go-Back-N  At the time marked “1”, i.e., when the first packet times out, will Host A send any packet? if your answer is no, explain why not; if your answer is yes, how many packets will be sent, what are the sequence numbers of them?  At the time marked “2”, i.e., when the ACK of the 2nd packet is received by Host A, will Host A send any packet? if your answer is no, explain why not; if your answer is yes, how many packets will be sent, what are the sequence numbers of them?  

(03.02) Is (x + 7) a factor of f(x) = x3 − 3×2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasoning.