Use Synthetic Division. State if the given binomial is a factor of the given polynomial. If it is a factor, write the answer in factored form.
1) (4 - 10x² – 3x+23) + (x - 10)
2) (p* + 4p - 4p?+ 1) + (p+1)
3) (pº - 2p - 26p+18) + (p-6)
4) (? - x) + (-1)
5) (8n? - 16n? - 30n + 18) - (2-3)
6) (K - 3k? - 18k+ 40) + (k + 4)

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Koji is installing a rectangular window in an office building. the window is 823 feet wide and 534 feet high. the formula for the area of a rectangle is a=bh. what is the area of the window? enter your answer as a mixed number in simplest form in the box. $$ ft2

The radius of a sphere is 3 inches. which represents the volume of the sphere?