Which of the following options correctly represents the complete factored form of the polynomial F(x) = x3 – x2 - 4x-6?
A. F(x) = (x+3)(x + 1)(x - 1)
B. F(x) = (x-3)(x +1+1)(x-1-i)
C. F(x) = (x-3)(x +1+1)(x +1 -i)
D. F(x) = (x+3)(x+1+1)(x +1-i)

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Define the type of sequence below. -2,0,2,4,6 a. both arithmetic and geometric b. arithmetic c. neither arithmetic nor geometric d. geometric

Pr and pt a) pr = ps + pt b)pr = ps · pt c)(pr)2 = ps · pt