The table below shows the preference ballots for an election with 16 voters and 3 candidates. Use the table to write out the preference schedule for this election. Ballots
1st
2nd
3rd
Write out the preference schedule for this election.
Number of Voters
nothing
nothing
nothing
1st choice
A
B
C
2nd choice
B
C
B
3rd choice
C
A
A

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

thus, the first answer choice, y = sec x, is the correct one